sin(x + y) = sin(x) cos(y) + cos(x) sin(y)cos(x + y) = cos(x) cos(y) − sin(x) sin(y)23a. Find an exact value for sin(75◦).Note: some calculators will do this for you. You must do this using the identities above, and you must show your work.23b. Simplify the following expression: cos(270◦ − θ)

Q: cos(7) -dp. 1 – cos²(x) 1. Evaluate

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Q: 2. (a) (b) Simplify the following expressions. tan(-0) sin(7-8) 1+cos (2+0) cos(+0)

A: The given expressions,(a) (b) .The aim is to simplify the given expressions.

Q: (14) Prove the following identity cos(x + y) + cos(x - y) = 2 cos(x) cos(y). Make sure you show all…

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Q: Suppose that a and ß are in the first quadrant, sin(a) = , and sin(B) = . What is sin(a + B)?

A: cos2α=1-sin2α sinα+β=sinαcosβ+cosαsinβ