Solve frac{csc x(sin^{2}x+cos^{2}xtan x)}{sin x+cos x}

midtlinjeg 2020-11-10 Answered
Solve cscx(sin2x+cos2xtanx)sinx+cosx
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Expert Answer

Faiza Fuller
Answered 2020-11-11 Author has 108 answers
Write in terms of sine and cosine:
=(1sinx)(sin2x+cos2x×sinxcosx)(sinx+cosx)
Simplify:
(1/sinx)(sin2x+cosxsinx))(sinx+cosx)
Apply distributive property: a(b+c)=ab+c
=sinx+cosxsinx+cosx=1
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