Question: a. Apply the formula for cos (A - B) to the identity sin = cos(/2 - ) to obtain the addition formula for sin

a. Apply the formula for cos (A - B) to the identity sin θ = cos(π/2 - θ) to obtain the addition formula for sin (A + B).

b. Derive the formula for cos (A + B) by substituting -B for B in the formula for cos (A - B) from Exercise 35.


Exercise 35.

Use the addition formulas to derive the identities.

cos (A - B) = cos Acos B + sin Asin B

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