SOLUTION: Prove or disprove: cos^6(x)=-2+3cos^2(x)+3sin^4(x)-sin^6(x) Can you please show me the steps for solving this problem.

Question 1151556: Prove or disprove: cos^6(x)=-2+3cos^2(x)+3sin^4(x)-sin^6(x)
Can you please show me the steps for solving this problem.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!





Substitute 1-sin²(x) for cos²(x)





To uncomplicate matters, let y = sin²(x)



Simplify



Simplify further



Both sides are identical, so the problem is proved.
It's OK to work with both sides of an identity as long
as you don't change the value of either side, by adding,
subtracting, multiplying, or dividing to, from, or by both
sides.

Edwin

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