Final answer to the problem
$\frac{1-\sin\left(a\right)^2}{\sin\left(a\right)-\sin\left(a\right)^2}$
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Step-by-step Solution
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1
Multiply the single term $\sin\left(a\right)$ by each term of the polynomial $\left(1-\sin\left(a\right)\right)$
$\sin\left(a\right)-\sin\left(a\right)\sin\left(a\right)$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\sin\left(a\right)-\sin\left(a\right)\sin\left(a\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (cos(a)^2)/(sin(a)(1-sin(a))). Multiply the single term \sin\left(a\right) by each term of the polynomial \left(1-\sin\left(a\right)\right). When multiplying two powers that have the same base (\sin\left(a\right)), you can add the exponents. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2.
Final answer to the problem
$\frac{1-\sin\left(a\right)^2}{\sin\left(a\right)-\sin\left(a\right)^2}$