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Factor the polynomial $\tan\left(x\right)^2-\tan\left(x\right)^2\sin\left(x\right)^2$ by it's greatest common factor (GCF): $\tan\left(x\right)^2$
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$\tan\left(x\right)^2\left(1-\sin\left(x\right)^2\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression tan(x)^2-tan(x)^2sin(x)^2. Factor the polynomial \tan\left(x\right)^2-\tan\left(x\right)^2\sin\left(x\right)^2 by it's greatest common factor (GCF): \tan\left(x\right)^2. Apply the trigonometric identity: 1-\sin\left(\theta \right)^2=\cos\left(\theta \right)^2. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. 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}.