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

midtlinjeg

midtlinjeg

Answered question

2020-11-10

Solve cscx(sin2x+cos2xtanx)sinx+cosx

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2020-11-11Added 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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