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# simplifying this expression?

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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