SOLUTION: Solving identities after factoring out a common function. Determine the missing term. ___ ___ 4.sin²x-cos²x / sin x + cos x = sin x-|___|

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Question 1176263: Solving identities after factoring out a common function. Determine the missing term. ___
___
4.sin²x-cos²x / sin x + cos x = sin x-|___|
___
Answer by Solver92311(821)   (Show Source): You can put this solution on YOUR website!




Factor the difference of two squares in the numerator:



Eliminate common factors from numerator and denominator:



Hence:



And the identity is:



Note: You must exclude so that the denominator in the left hand expression is never zero. Hence, the original expression is not precisely an identity without having made that exclusion in the first place.

John

My calculator said it, I believe it, that settles it

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