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Expand the fraction $\frac{\sec\left(x\right)^2-1}{\sec\left(x\right)^2}$ into $2$ simpler fractions with common denominator $\sec\left(x\right)^2$
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$\frac{\sec\left(x\right)^2}{\sec\left(x\right)^2}+\frac{-1}{\sec\left(x\right)^2}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (sec(x)^2-1)/(sec(x)^2). Expand the fraction \frac{\sec\left(x\right)^2-1}{\sec\left(x\right)^2} into 2 simpler fractions with common denominator \sec\left(x\right)^2. Simplify the resulting fractions. Applying the trigonometric identity: \displaystyle\frac{1}{\sec^{n}(\theta)}=\cos^{n}(\theta). Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2.