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Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
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$\frac{\frac{1}{\cos\left(x\right)^2}-1}{\sec\left(x\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (sec(x)^2-1)/(sec(x)^2). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Apply the trigonometric identity: \sec\left(\theta \right)=\sqrt{1+\tan\left(\theta \right)^2}. Cancel exponents \frac{1}{2} and 2. Combine all terms into a single fraction with \cos\left(x\right)^2 as common denominator.