SOLUTION: prove the identity of (sin x)(cot x +cos x tan x)=cos x + sin^2 x

Question 677802: prove the identity of (sin x)(cot x +cos x tan x)=cos x + sin^2 x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
prove the identity of (sin x)(cot x +cos x tan x)=cos x + sin^2 x
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Left side: sin(cot + cos*tan)
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Convert to sin and cos to get:
sin[(cos/sin)+cos(sin/cos)]
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= sin[(cos/sin) + sin)]
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= cos + sin^2
which is the right side
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Cheers,
Stan H.
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