Use the power reducing_formulas to rewrite sin^2 3x cos^2 3x in terms of the first power of cosine.

Question

Simplify your answer as much as possible.
Step by step solutions

Answer 1

1. sin^2 3x cos^2 3x = (1 - cos^2 3x) (cos^2 3x)

2. (1 - cos^2 3x) (cos^2 3x) = cos^4 3x - cos^6 3x

3. cos^4 3x - cos^6 3x = cos^4 3x (1 - cos^2 3x)

4. cos^4 3x (1 - cos^2 3x) = cos^4 3x - cos^6 3x

Answer: cos^4 3x - cos^6 3x

Answer 2

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AAAaannndd the bot gets it wrong yet again!