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| Math Central | Quandaries & Queries |
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Question from Katie, a student: Solve this identity: (1+2sinxcosx)/(sinx+cosx) = sinx+cosx |
Hi Katie. There are just two steps to this proof.
First, multiply the left hand side by (sinx + cosx) / (sinx + cosx) leaving the numerator factored, but multiplying out the denominator. Next, use the identity sin2(x) + cos2(x) = 1 to simplify the denominator.
Hope this helps,
Stephen La Rocque
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