Use the sum-to-product identities to rewrite the following expression in terms containing only first powers of tangent. sin8x−sin2xcos8x+cos2x
Question
Solution 1
The given expression is sin8x - sin2x*cos8x + cos2x.
First, we need to recall the sum-to-product identities:
sin(A)cos(B) = 1/2[sin(A-B) + sin(A+B)] cos(A)cos(B) = 1/2[cos(A-B) + cos(A+B)] sin(A)sin(B) = 1/2[cos(A-B) - cos(A+B)]
Now, let's rewrite the given expression using these identities:
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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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