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Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
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$1-\sin\left(a\right)^2+\sin\left(a\right)^2\cos\left(a\right)$
Learn how to solve problems step by step online. Simplify the trigonometric expression cos(a)^2+sin(a)^2cos(a). Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Factoring by \sin\left(a\right)^2. Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}, where x=a. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.