
Ami N.
asked 05/01/22How to solve this?
Verify the identity,
(sinx +cosx)2 /(1 + 2sinxcoxx) = 1
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1 Expert Answer
Mark M. answered 05/01/22
Tutor
4.9
(953)
Retired Math prof with teaching and tutoring experience in trig.
(sinx + cosx)2 = (sinx + cosx)(sinx + cosx) = sin2x + 2sinxcosx + cos2x = 1 + 2sinxcosx
So, (sinx + cosx)2 / (1 + 2sinxcosx) = (1 + 2sinxcosx) / (1 + 2sinxcosx) = 1
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Mark M.
Equations are solved. Identities are verified.05/02/22