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Applying the trigonometric identity: $1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2$
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$\frac{\sec\left(x\right)^2}{\csc\left(x\right)^2}$
Learn how to solve problems step by step online. Simplify the trigonometric expression (1+tan(x)^2)/(csc(x)^2). Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. Simplify \frac{\sec\left(x\right)^2}{\csc\left(x\right)^2} using trig identities. Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where n=2. Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}.