Question

Need answer to pictured problem! The answer should be in reference to trig identities

Answer 1

Step 1. The expression that we have is:

`cos^2(5x)`

and we need to find the equivalent expression.

Step 2. The trigonometric identity we will use to solve this problem is:

`cos^2A=1-sin^2A`

In this case:

`A=5x`

Step 3. Applying the trigonometric identity to our expression, substituting 5x in the place of A:

`cos^2(5x)=\boxed{1-sin^2(5x)}`

This is shown in option d).

Answer:

`\boxed{d)\text{ }1-s\imaginaryI n^2(5x)}`