Question

question 3 (1 point)
which compound angle formula is the easiest to use to develop the expression
2 sin θcos θ?
a) subtraction formula for cosine
b) subtraction formula for sine
c) addition formula for cosine
d) addition formula for sine

Explanation:

Step1: Recall addition formula for sine

The addition formula for sine is \(\sin(A + B)=\sin A\cos B+\cos A\sin B\).

Step2: Let \(A = B=\theta\)

Substitute \(A = B=\theta\) into the formula: \(\sin(\theta+\theta)=\sin\theta\cos\theta+\cos\theta\sin\theta = 2\sin\theta\cos\theta\).

Answer:

d) addition formula for sine