SOLUTION: verify the identity cos^4(x)+sin^4(x)=1-(1/2)sin(2x)^2

Question 360885: verify the identity cos^4(x)+sin^4(x)=1-(1/2)sin(2x)^2
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
Work with the right side only:
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Use the identity:
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Square the expression in parentheses:
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Cancel the 2 into the 2�:
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This is a cool trick here. Replace 1 by 1�
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Replace the 1 using the identity:
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Square out the first term on the right:
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Remove the parentheses:
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Cancel the terms that cancel:
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Edwin

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