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Rewrite the exponent $\cos\left(a\right)^2$ as a product of $\cos\left(a\right)$
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$\frac{\cos\left(a\right)\cos\left(a\right)}{\sin\left(a\right)\left(1-\sin\left(a\right)\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (cos(a)^2)/(sin(a)(1-sin(a))). Rewrite the exponent \cos\left(a\right)^2 as a product of \cos\left(a\right). Split the numerator of \frac{\cos\left(a\right)\cos\left(a\right)}{\sin\left(a\right)\left(1-\sin\left(a\right)\right)}. Apply the trigonometric identity: \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}=\cot\left(\theta \right), where x=a. Applying the sine identity: \displaystyle\sin\left(\theta\right)=\frac{1}{\csc\left(\theta\right)}.