Question

For the expression that follows, replace z with 60° and then simplify as much as possible.

4 cos(z − 30°)

Answer 1

To simplify the expression 4 cos(z - 30°) with z replaced by 60°, we substitute z with 60° and evaluate the expression. The simplified expression is 2√3.

Step-by-step explanation:

To replace z with 60° in 4 cos(z - 30°), we substitute z with 60°. Therefore, the expression becomes 4 cos(60° - 30°). We simplify this further by evaluating the cosine of the angle:

1. cos(60° - 30°) = cos(30°) = √3/2
2. 4 cos(30°) = 4 * (√3/2) = 2√3

So, when z is replaced with 60°, the simplified expression is 2√3.