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I need to simplify sec x cot x sin\({^2}\) x to one of the three primary trig functions, sin x, cos x, or tan x.

 

so far I've done (1/cos x)(sin x/ cos x)(sin\({^2}\) x /1). It's the squared sine that's making me confused.

 

how should I simplify it?

 Feb 19, 2019
 #1
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sec x cot x sin^2 x

 

\(\sec x\cdot \cot x \cdot\sin^2 x\\ =\frac{1}{ \cos x}\cdot \frac{\cos x}{\sin x}\cdot \frac{\sin^2x}{1}\\ =\sin x\)

 

The rest cancels out.

 Feb 19, 2019

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