Complete the proof of the identity by choosing the Rule that justifies each step.=+sen2x2cos2x+1cos2xTo see a detailed description of a Rule, select the More Information Button to the right of the Rule.Statement Rule+sen2x2cos2x =+−1cos2x2cos2x Rule ?=+1cos2x Rule ?

It seems like there's a bit of confusion in your question. However, I'll try to help you with the trigonometric identity you're trying to prove.

The identity you're trying to prove seems to be sin^2(x) = 1 - cos^2(x). Here's a step-by-step proof:

1. Start with the Pythagorean identity: sin^2(x) + cos^2(x) = 1
2. Subtract cos^2(x) from both sides to get: sin^2(x) = 1 - cos^2(x)

The rule used here is the Pythagorean identity, which is a fundamental identity in trigonometry.

If this isn't the identity you're trying to prove, please provide the correct one and I'll be happy to help you with it.

It seems like there's a bit of confusion in your question. However, I'll try to help you with the trigonometric identity you're trying to prove.

The identity you're trying to prove seems to be sin^2(x) = 1 - cos^2(x). Here's a step-by-step proof:

1. Start with the Pythagorean identity: sin^2(x) + cos^2(x) = 1
2. Subtract cos^2(x) from both sides to isolate sin^2(x): sin^2(x) = 1 - cos^2(x)

So, the rule used here is the Pythagorean identity, which is a fundamental identity in trigonometry.

If you're trying to prove a different identity, please provide the correct one.