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Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Applying the trigonometric identity: $\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2-1$
Learn how to solve trigonometric identities problems step by step online.
$\tan\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (sec(x)+1)(sec(x)-1)=tan(x)^2. Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: \tan\left(\theta \right)^2 = \sec\left(\theta \right)^2-1. Simplify \sqrt{\sec\left(x\right)^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{1}.