Final Answer
$\sin\left(x\right)^2$
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Step-by-step Solution
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1
Apply the trigonometric identity: $\cot(x)=\frac{\cos(x)}{\sin(x)}$
$\frac{\cos\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}$
Why is cot(x) = cos(x)/sin(x) ?
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$\frac{\cos\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (cos(x)^2)/(cot(x)^2). Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. Divide fractions \frac{\cos\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Simplify the fraction \frac{\cos\left(x\right)^2\sin\left(x\right)^2}{\cos\left(x\right)^2} by \cos\left(x\right)^2.
Final Answer
$\sin\left(x\right)^2$