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Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Apply the trigonometric identity: $\tan\left(\theta \right)^n$$=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}$, where $n=2$
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$\csc\left(x\right)^2\tan\left(x\right)^2-1$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity csc(x)^2tan(x)^2-1=tan(x)^2. Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where n=2. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying fractions \frac{1}{\sin\left(x\right)^2} \times \frac{\sin\left(x\right)^2}{\cos\left(x\right)^2}.