Question: Prove the identity. sin(/2 + x) = cos x

Prove the identity.

sin(π/2 + x) = cos x

Step by Step Solution

★★★★★

3.38 Rating (179 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We know that sin2 x can be expressed using the sumtoproduct trigonometric identity wh... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 6th edition Questions!

Q:

Use the identity for sin (A + B) to prove the identity sin 2A = 2 sin A cos A.

Q:

a. Use the identity sin (a + h) = sin a cos h + cos a sin h with the fact that to prove that thereby establishing that sin x is continuous for all x. (Hint: Let h = x - a so that x = a + h and note...

Q:

a. Differentiate both sides of the identity cos 2t = cos 2 t - sin 2 t to prove that sin 2t = 2 sin t cos t. b. Verify that you obtain the same identity for sin 2t as in part (a) if you differentiate...

Q:

Prove the identity. 1 + sin x COS X COS X 1 - sin x To verify the identity, start with the left side and transform it to obtain the right side. Choose the correct step and transform the expression...

Q:

I need help with this problem please. Prove the identity. sin x 1 - cos x = csex + cotx Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a...

Q:

Verifying a Trigonometric Identity In Exercises 33, 34, 35, 36, 37, and 38, verify the identity. 33. sin /2 x cos x - sin / r cos x = cos xvsin c Answer + X Answers will vary. 34. sec x(sec x tan x)...

Q:

In Exercises 1-4, verify the identity. 1. sin( / 2 - x) = cos x 2. sin( / 2 - x) = cos x 3. sin( / 6 + x) = 1 / 2(cos + 3 sin x) 4. cos(5 / 4 - x) = -2 / 2(cos x + sin x)

Q:

list Evaluate the following integral K dx 2 + 4x + 20 Question 1 Question 2 dx 2 + 4X + 20 tan * + C (Type an exact answer.) O Question 3 O Question 4 O Question 5 Question 6ng thuc chinh... (14)...

Q:

For the following exercises, prove the identity. sin (10x) sin(2x) cos (10x)+ cos(2x) tan(4x)

Q:

1.1 Evaluate dx . xvin x 1.2 Evaluate sin X x . 1-x2 1.3 Evaluate 3xe 2x2 Vitpar dx. 1.4 Determine the following integrals sin x 1.4.1 dx . 19cos2 x + 16 1.4.2 2t Int dt . 1.4.3 (x' -dx . Jx2 + 1...

Q:

For the following questions, assume you have just graduated and started a full-time job. At your job, you have the opportunity to begin investing in a 401k. Use 8% for your portfolio return, $50k for...

Q:

Dylan Co. set up a petty cash fund for payments of small amounts. The following transactions involving the petty cash fund occurred in May (the last month of the companys fiscal year). May 1 Prepared...

Q:

CHALLENGE Systematic random samples versus simple random samples. The previous exercise introduces systematic random samples. Explain carefully why a systematic random sample does give every...

Q:

Suppose Yi = aui + bvi + i for i = 1,..., 100. The i are IID with mean 0 and variance 1. The us and vs are fixed not random; these two data variables have mean 0 and variance 1: the correlation...

Q:

In problem, answer the questions about the given function. f(x) = -3x 2 + 5x (a) Is the point ( -1, 2) on the graph of f? (b) If x = -2, what is f (x)? What point is on the graph of f? (c) If f(x) =...

Q:

Reflected about the x-axis In problem, write the function whose graph is the graph of y = x 3 , but is:

Q:

If find: (a) f(-2) (b) f(0) (c) f(2) if x 0 f(x) = 2x + 1 2 %3D

Q:

Provide shortcompression between DOHA BANK Q.P.S.Cand Commercial Bank in Qatar Product and service and Business Lines ,sector ,branches, no of employee,

Q:

https://www.youtube.com/watch?v=Y8MS6zubIaQ&list=PLt6nX4f8WjdWgeomQQ3oLzVH5EoahlcQB&index=1 Please view attached video clip. Answer question: what is race? Why is it just an illusion? Please add a...

Q:

Although project management may seem overwhelming at times, breaking it down into distinct cycles can help PM team manage even the most complex projects and use time and resources more wisely?...