Question

Select the correct answer.
Which expression completes the identity cos u sin v=?
OA 2 (sin(u + v) + sin(u – v)]
O B. [cos(u – v) + cos(u + w]
OC. ] (sin(u + v) – sin(u – v)]
[CO3(w – v) – cos(u + v)]
D.
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Answer 1

Answer:

cos u sin v = 1/2 [ sin ( u + v ) - sin ( u - v ) ]  

Explanation:

In photo below :)

Answer 2

The expression (1/2)[sin(u + v) - sin(u - v)] completes the trigonometric identity cos u sin v= option (C) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric expression:

= cos(u)sin(v)

As we know, sin, cos, tan are the trigonometric ratios:

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

From the identity of 2cosAsinB

2cosAsinB = sin(A + B) - sin(A - B)

Or

cosAsinB = (1/2)[sin(A + B) - sin(A - B)]

Plug A = u and B = v in the above trigonometric identity:

cos(u)sin(v) = (1/2)[sin(u + v) - sin(u - v)]

Thus, the expression (1/2)[sin(u + v) - sin(u - v)] completes the trigonometric identity cos u sin v= option (C) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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