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Step-by-step Solution
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Multiply the single term $\sin\left(a\right)$ by each term of the polynomial $\left(1-\sin\left(a\right)\right)$
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$\frac{\cos\left(a\right)^2}{\sin\left(a\right)-\sin\left(a\right)^2}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (cos(a)^2)/(sin(a)(1-sin(a))). Multiply the single term \sin\left(a\right) by each term of the polynomial \left(1-\sin\left(a\right)\right). Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Simplify the product -(1-\cos\left(a\right)^2). Apply the trigonometric identity: \sin\left(\theta \right)=\sqrt{1-\cos\left(\theta \right)^2}, where x=a.