Use a power-reducing identity to rewrite the following expression below in terms containing only first powers of sine and cosine.sin3(x)

Question

Use a power-reducing identity to rewrite the following expression below in terms containing only first powers of sine and cosine.sin3(x)
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Solution 1

The power-reducing identities are:

sin²(x) = 1/2 - 1/2 cos(2x) cos²(x) = 1/2 + 1/2 cos(2x)

However, your expression is sin³(x), not sin²(x). To rewrite sin³(x) in terms of first powers of sine and cosine, we can use the identity sin³(x) = (3sin(x) - sin(3x))/4.

So, sin³(x) can be rewritten as (3s Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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