Verify the identity.
cos x/1+sin x = sec x - tanx

Verify The Identity.cos X/1+sin X = Sec X - Tanx

Answers

Answer 1

Answer:

See below for proof

Step-by-step explanation:

[tex]\displaystyle \frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{(1+\sin x)(1-\sin x)}\\\\\frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{1-\sin^2x}\\\\\frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{\cos^2x}\\\\\frac{\cos x}{1+\sin x}=\frac{1-\sin x}{\cos x}\\\\\frac{\cos x}{1+\sin x}=\frac{1}{\cos x}-\frac{\sin x}{\cos x}\\\\\frac{\cos x}{1+\sin x}=\sec x-\tan x[/tex]


Related Questions

Which statement is best supported by the Information in the box
plots?

A The median of the data for Student 1 is less than the medianof the data for Student2

B. The interquartile range of the data for Student 1 is equal to the
interquartile range of the data for Student 2

C. The range of the data for Student 1 is greater than the range
of the data for Sludent 2

D. The lowest grade for Student 1 is greater than the lowest
grade for Student 2

Answers

Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

PLEASE HELP
Use the equation y=3(12)x to determine the value of y if x=−2.
A. 3
B. 4/9
C. 3/4
D. 12

Answers

your answer should be y= -72

How does the stimulus check impact society please help me please i really need help please

Answers

Answer:

It helps families who or who do not have the resources and helps them with money issues

Step-by-step explanation:

hope it helps

which three choices are needed to create the target figure ?

Answers

Answer:

Um is there more to the question?

Step-by-step explanation:

A young couple wants to save $40,000 over the next 5 years and then use this money as a down payment on a home. How much money must they deposit at the end of each quarter in an account that earns 5% compounded quarterly?

Answers

5% of 40,000 is 2,000

unidad de 1000 a Cuántos centímetros equivale

Answers

En centímetros tiene que ser 100

I need the answer to this.

Answers

Answer:

4

Step-by-step explanation:

four Point perspective

Answer:

one point perspective

Step-by-step explanation:

It is one point perspective because if you are thinking about birds eye view, you have to consider that they height a bird can fly is very very high. So you have to be thinking critically, it cannot be 4 point perspective nor 3 point perspective due to the fact, that that is worm eye view. Thus, the answer it leaves you with is 1 point view and 2 point perspective. Two point perspective is us, it would be like us watching a building (which isn't that high). Hence, the last answer you are left with is one point perspective.

For reference you can look at the picture:

Hope this helps! :))

A wheelchair ramp is being built for entrance to a portable classroom. If the ramp has a slope of
1/12 and has a horizontal length of 5 m, what is its height to the nearest tenth of a metre?
a1.1 m
c. 0.4 m
b. 0.8 m
d. 0.3 m​

Answers

Answer: A

Step-by-step explanation: Because you multiple 5m by 1/12?

If the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

What is slope ?

Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

i.e. Slope  [tex]m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}[/tex]

We have,

The ramp has a slope of  [tex]\frac{1}{12}[/tex],

Horizontal length of [tex]5m[/tex]

Height of ramp [tex]=x[/tex]

So,

Slope [tex]=\frac{H}{L} = \frac{1}{12}[/tex]

        [tex]\frac{H}{5} =\frac{1}{12}[/tex]

      [tex]H=\frac{5}{12}[/tex]

       [tex]H=0.4 \ m[/tex]

So, the Height of the ramp is [tex]0.4 \ m[/tex] .

Hence, we can say that if the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

To know more about slope click here

https://brainly.com/question/1905613

#SPJ2

please help asap

i keep failing these quizzes i’m so confused

Answers

Answer:

try b

Step-by-step explanation:

Please help, will mark brainliest. It is easy and urgent.
Given the figure below, how many planes contain the points Z,V, and Y

Answers

Answer:

2

Step-by-step explanation:

ASAP ! The radius of a circle is 12 ft.
8.37 ft?
480
12 ft
28.72 ft
100.48 ft
What is the area of a sector bounded by an 80° arc? (use 3.14 for 1)
16.75 ft

Answers

Answer:

Area of sector bounded by angle = 100.37 ft² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 12 feet

Arc angle θ = 80°

Find:

Area of sector bounded by angle

Computation:

Area of sector bounded by angle = [θ/360][πr²]

Area of sector bounded by angle = [80/360][(3.14)(12)²]

Area of sector bounded by angle =[0.22][(3.14)(144)]

Area of sector bounded by angle = [0.22][452.16]

Area of sector bounded by angle = 100.37 ft² (Approx.)

Calculate the area of the shape below.

Answers

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

If A is an event that will never happen, then P(A)=​

Answers

Answer:

0

Step-by-step explanation:

If A is an event that will never happen, then P(A)=​0

5. A football stadium has 81.296
seats. Then the stadium's owner
adds 10.795 seats. What is the
new total number of seats?

Answers

Answer:

92.091

Step-by-step explanation:

81+10=91

.296

+

.795

_____

1.091

So: 91+1.095=92.091

Pls help me complet this

Answers

Answer:

P(for) = 5/8

P(against) = 3/10

P(undecided)= 3/40

Step-by-step explanation: Again, find the total number of people Devi surveyed.

40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.

Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.

Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer: The answer is 4 pieces of chalk

Answer:

7 chalks

Step-by-step explanation:

7 crosses are above numbers that are higher than 5

please help me asap!!

Answers

Answer:

option a. SAS

......................

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer:

66 sq.yd

Step-by-step explanation:

Given,

Base of the parallelogram = 11 yd

Height of the parallelogram = 6 yd

Therefore,

Area of the parallelogram = base × height

= 11 yd × 6 yd

[tex] = 66 {yd}^{2} [/tex]

Hence,

Area of the parallelogram is 66 sq. yd

NAMING BRAINLIEST
What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?

Answers

Answer:

18

Step-by-step explanation:

Using PEMDAS, first you do the parenthesis which the value would be 9. Then you divide: 9/ 3= 3. Lastly,  you add 7+3+8=18.

The product will be 18.

Hope this helps! :)

Can someone please help me?

Answers

9514 1404 393

Answer:

  C and D

Step-by-step explanation:

Extraneous solutions arise in a couple of cases, both of which are illustrated in this list of answer choices.

1. Square roots (and other even-index radicals). The square root is defined only for positive arguments. When the radical is removed by squaring the equation, the possibility of negative arguments is introduced. Hence, there may be extraneous solutions.

Example:

  x = √(x +2)   ⇒  x² = x+2 . . . has 2 roots, one of which is extraneous

__

2. Rational function equations. Such an equation is only defined when the denominator is not zero. A method often taught for solution of these equations is "cross-multiplying"--essentially multiplying by the product of the denominators. In the case where this product is not the least common denominator, the equation will have an extra factor that can introduce an extraneous root.

__

The answer choices C and D are likely to have extraneous roots based on the above observations.

_____

Additional comment

Choice D would usually be solved by cross-multiplying. That would give the quadratic equation (x -3)² = 0, which only has solutions x=3. The denominators are zero at x=3, so these solutions are extraneous. If the right side is subtracted from the left side, the fractions can be combined to give ...

  ((x+3) -6)/((x -3)(x +3)) = 0   ⇒   1/(x+3) = 0 . . . . no solution

The possible number of solutions obtained for quadratic equations is
A) 2
B) None of these
C) 4
D) 3

Answers

I believe it’s choice B. Have a good day

Answer:

A

Step-by-step explanation:

I don't know to explain it so this is by khan academy

If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.

PLS HELP I HAVE BEEN ASKING FOR 4 DAYS IM JUST GETTING BAD ANSWERS I WILL GIVE BRAINLIEST. IM ABOUT TO FAIL :((((((((((((((

Answers

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

pls help will give brainliest and only put 1 variable in it ty​

Answers

Answer:

(2/3)r=30

r=45cm

Step-by-step explanation:

When trying to find a fraction of something, multiply to get your answer:

(2/3) of r = (2/3)r

The blue ribbon can be represented by both 30cm and (2/3)r cm:

(2/3)r=30

2r=90

r=45cm

Help please will mark brainliest

Answers

Answer:

150.80 sq ft

Step-by-step explanation:

Area of a cylinder = area of circle x length

r = 8/2 = 4

[tex]4^{2}[/tex]π x 3 = 48π = 150.7964474

Answer:

37.68ft³

Step-by-step explanation:

So the formula for the volume of a cylinder is base x height our height is 3 but we have to find the area of the base:

the formula is: radius² x 3.14 (pi)

so we find the radius by dividing the diameter by 2: 8 ÷ 2 = 4

4 x 3.14 = 12.56

So the area of the base is 12.56ft²

now we plug that into our equation:

12.56 x 3 = 37.68

So the volume of the cylinder is 37.68ft³

hope this helps:)

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.) (a) the thickness is less than 3.0 mm

Answers

Answer:

0.0051 = 0.51% probability that the thickness is less than 3.0 mm

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm.

This means that [tex]\mu = 4.8, \sigma = 0.7[/tex]

(a) Probability that the the thickness is less than 3.0 mm

pvalue of Z when X = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 4.8}{0.7}[/tex]

[tex]Z = -2.57[/tex]

[tex]Z = -2.57[/tex] has a pvalue of 0.0051

0.0051 = 0.51% probability that the thickness is less than 3.0 mm

30 points. Pls help if you can. Will mark brainliest!! I need how you got the answer pls <3 11) A box has Snickers, Milky Way, and Twix. There is a 1/5 probability of randomly picking a Snickers, and a 1/4 chance of randomly picking a Milky Way. What is the probability of picking a Twix?
A. 11/20
B. 2/9
C. 1/20
D. 19/20

Answers

Answer:

B is the answer

Step-by-step explanation:

Im the best

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

Find the area of each triangle, each dimension of the triangle shown below is measured in centimeters.

Answers

The one on the left is 34 cm and the one on the is 1,014 cm

the capacity at the local pool is 225 people.

a. If there were 198 people at the pool, what is the percentage of capacity

b. if there were 180 people at the pool, what is the percentage of the capacity

Answers

a. 88%

b. 80%

Step-by-step explanation:

198/225=.88

180/225=.80

CAN U PLZ ANSWER THIS ITS FOR A TEST

Answers

Answer:

A. 300in^2

Step-by-step explanation:

Area=LWH

15*10*2=300

Other Questions
If 20 lb of rice and 30 lb of potatoes cost $21.80, and 30 lb of rice and 12 lb of potatoes cost $17.52, how much will 10 lb of rice and 50 lb of potatoes cost? If there is a very strong correlation between two variables, then the coefficient of correlation must be _____.a. much larger than 1, if the correlation is positiveb. much smaller than 1, if the correlation is negativec. Both answers are correctd. None of the above Let a EC with a < 1. Find the set of all z EC such that |z-a| < | 1-az| Where in a plant cell do the light-dependent reactions of photosynthesis occur? ________ focuses on studying customer behavior and perceptions in order to provide the business intelligence necessary to identify new opportunities and to provide superior customer service. The Caffeine Coffee Company uses the modified internal rate of return. The firm has a cost of capital of 9 percent. The project being analyzed is as follows ($38,000 investment): Use Appendix A and Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods. Year Cash Flow 1 $20,000 2 19,000 3 12,000 What is the modified Internal rate of return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Internal rate of return____% the relative price inelasticity of demand for agricultural products has resulted in a criticism of piaget's theory is that ______ have a larger effect on cognitive development than piaget claimed. Consider the function y = y = 3 cos (2x - pi/2) What is the phase shift of the function? A TT to the right TT B to the left C 4 4 22 to the right D to the left 5. Which of the following functions has vertical TT asymptotes at x = and x = in the 2 2 interval [0, 21)? A y = tan x B y = secx C y = cscx D y = tan x and y = secx Write the equation of a parabola whose directrix is x=4 and has a focus at (-6,-5).Write the equation of a parabola whose directrix is y=2 and has a focus at (3,10).Find the equation for the parabola that has its focus at (-3,2) and has directrix y=6.Find the equation for the parabola that has its vertex at the origin and has directrix at x=-1/43.Find an equation for the parabola that has its vertex at the origin and has its focus at the point (0,-6.4). Many argue that the blues and jazz are the first truly American musical forms. With its origins in slave narratives, the blues took root during the 1920s and 1930s as African-American composers, musicians, and singers performed in the cabarets and clubs of Harlem. Jazz, however, has its origins in New Orleans. Today, we can still appreciate the music of Bessie Smith, Duke Ellington, and B. B. King.Rock and roll is also a distinctively American form of music. Our country's first "rock star" was without a doubt Elvis Presley, who emerged on the nation's airwaves in the mid-1950s with such hits as Heartbreak Hotel, Don't Be Cruel, and All Shook Up. A decade later, Americans were expressing themselves musically through rhythm and blues, pop, folk rock, and protest music. Today, thanks to recording technology, we have easy access to our country's rich musical history.My options for answers are:direct objectpredicateadverbial clauseactive voiceabsolute phrasesubject complementappositivesimple subjectprepositional phrase aviation incorporated has 135,000 shares authorized, 125,000 shares issued and no treasury stock. determine the number of shares outstanding:a. 240,000. b. 0 c. 10,000. d. 125,000. e. 115,000. (a) Find the distance from the Q(-5,2, 9) to the line r(t) =< 5t +7, 2-t, 12t + 4 > (b) Find the distance from the point P(3, -5,2) to the plane 2x + 4y - 2 + 1 = 0. You are investigating a savings account that is offered by 2 different banks.Bank A is offering 0.464% interest per month, compounded monthly.Bank B is offering an effective annual interest rate of 6.50% Write the following code segment in MARIE assembly language. (Hint: Turn the for loop into a while loop): Sum = 0; for x = 1 to 10 do Sum = Sum + X; which one of the following foods has the lowest sodium content? Section B: Scenario Based Question Use the IRAC method to answer the following legal problem. 1. Vin wants to sell his house which is situated in a high-demand area for RM 1.8 million. In February 2022 he made the offer to several people stating that the offer will remain open until 31st March 2022. An interested buyer must sign an acceptance letter and pay a deposit of RM200.000 at the same time to show his/ her serious intention. Both the acceptance letter and the deposit money must be handed to Vin's lawyer on or before 31st March. Diesel wishes to buy the house. On March 2nd, he went to the lawyer's office, signed the letter, and told them that he will bank the money in three days' time. On March 3rd, Vin's lawyer contacted Diesel telling him that vin has decided to revoke the offer. Diesel who is really looking forward to owning the house wishes to sue Vin for breach of contract. Discuss whether a valid contract has been formed between Vin and Diesel. (7 Marks) Issue Rules . Application conclusion Y 5 G B H N U M K O V L Alt Gr foru P V .. P Sym -- 14 Te Lah Break 2 T/F. for the most part, shakespeare wrote his plays in verse, which was unrhymed and closely followed the rhythms of vernacular speech. CASE STUDY PEFORMING ROR ANALYSIS FOR 3D PRINTER AND IIOT TECHNOLOGY Background Software used in 3D printer systems manufactured by Spectrum LASER Corp. is currently able to automatically develop hollows, shells, and "tree supports" to save development time. Network printing for use on multiple machines and at different locations globally is available. New software, called JIT II, is being beta tested that will allow IIoT-type (Industrial Internet of Things) connections between machines at distant locations. When onboard monitoring sensors detect that a part is about to fail, or it is time to replace one of several high-profile parts, the JIT II software will automatically queue the part's manufacturing code onto a 3D printer that is detected to be locally idle or ready. The company believes it can design and produce the JIT II software, the 3D printers, and the accompanying computer equipment necessary to place this technology in a wide variety of harsh environments-chemically toxic to humans, in flight, underground in mines, on the ocean floor, in war-torn areas, etc. Information For this case, we will analyze the available computers that can provide the server function necessary to make this interlinking available and successful. The first cost and other parameter estimates, including expected contribution to annual net cash flow, are summarized below. Server 1 Server 2 First cost, $ 101,694 200,000 50,000 year 1, plus 5000 per year for years 2, 3, and 4 (gradient Net cash flow, $/ye 35,000 70,000 maximum for years 5 on, even if the server is replaced Life, years 3 or 4 5 Case Study Exercises Use spreadsheet analysis to determine the following: 1. If the MARR = 12%, which server should be selected? Use the PW or AW method to make the selection. For server 1 use 3 and 4 and for server 2 use 5 years. Note that you have to use LCM. 2. Use incremental ROR analysis to decide between the servers at MARR = 12%. B H A project has an initial cost of $65,000, expected net cash inflows of $13,000 per year for 8 years, and a cost of capital of 8%. What is the project's NPV? (Hint: Begin by constructing a time line.) Do not round intermediate calculations. Round your answer to the nearest cent Co To Predictions On TC Accedity Good to go 1124