SOLUTION: 2sin3xcos3x(2cos^2 3x-1) Solve by using the power-reducing identities

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Question 1144134: 2sin3xcos3x(2cos^2 3x-1)
Solve by using the power-reducing identities
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2sin3xcos3x(2cos^2 3x-1)
Solve by using the power-reducing identities
============
Nothing to solve.
Plus, it's ambiguous.
Use parentheses, they're free, and state what you want to do.

Answer by ikleyn(52943)   (Show Source): You can put this solution on YOUR website!
.

The product of the first three factors (terms) is


    2*sin(3x)*cos(3x) = sin(6x).


The fourth term is


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


Therefore


    2*sin(3x)*cos(3x)*(2cos^2 3x-1) = sin(6x)*cos(6x) = (1/2)*sin(12x).    ANSWER

Solved.


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