Question

Use a double angle, half angle, or power reduction formula to rewrite without exponents. a. cos(5x) squared

a) cos^2 (5x)
b) 1/2 cos(10x)
c) 1/2+ 1/2cos(10x)
d) 1/2cos(5x)

Answer 1

To rewrite cos(5x)^2 without exponents, we can use the double angle formula for cosine.

Step-by-step explanation:

To rewrite cos(5x)^2 without exponents, we can use the double angle formula for cosine.

The double angle formula for cosine states that cos(2θ) = 2cos^2(θ) - 1. In this case, we can rewrite cos(5x)^2 as cos^2(10x/2), which can be further simplified using the double angle formula to get (1 + cos(10x))/2.