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Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
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$\frac{1-\sin\left(x\right)^2}{1-\sin\left(x\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (cos(x)^2)/(1-sin(x)). Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. The difference of the squares of two terms, divided by the difference of the same terms, is equal to the sum of the terms. In other words: \frac{a^2-b^2}{a-b}=a+b.. Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\tan\left(\theta \right)}{\sqrt{1+\tan\left(\theta \right)^2}}.