SOLUTION: Simplify:
cos^4 (x)-sin^4(x)/ cos^2(x)- sin^2(x)
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Question 187840: Simplify:
cos^4 (x)-sin^4(x)/ cos^2(x)- sin^2(x)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
-sin^4(x)}{cos^2(x)- sin^2(x)})
... Start with the given expression.
Let and
... Replace each "cos" with "y". Replace each "sin" with "z".
(y^2+z^2)}{y^2-z^2})
Factor the numerator (using the difference of squares formula).
Cancel out the common terms and simplify.
+sin^2(x))
Plug in and
... Use the identity +sin^2(x)=1)
to simplify.
So -sin^4(x)}{cos^2(x)- sin^2(x)}=1)
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