QuestionWrite the expression as a single sine or cosine.
Studdy Solution
STEP 1
1. The expression involves trigonometric identities.
2. The goal is to simplify the expression to a single sine or cosine function.
3. We will use angle sum identities to achieve this.
STEP 2
1. Recognize the expression as a form that can be simplified using angle sum identities.
2. Apply the angle sum identity for sine.
STEP 3
Recognize that the expression can be written in the form of a sine angle sum identity:
The sine angle sum identity is:
In this expression, let and .
STEP 4
Apply the sine angle sum identity:
STEP 5
Simplify the expression inside the sine function:
Thus, the expression simplifies to:
The expression is equivalent to:
Was this helpful?