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Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
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$\frac{1-\sin\left(a\right)^2}{\sin\left(a\right)\left(1-\sin\left(a\right)\right)}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (cos(a)^2)/(sin(a)(1-sin(a))). Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Calculate the power \sqrt{1}. Any expression multiplied by 1 is equal to itself. Simplify \sqrt{\sin\left(a\right)^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}.