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Starting from the right-hand side (RHS) of the identity
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$\sec\left(x\right)^2+\csc\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (tan(x)+cot(x))^2=sec(x)^2+csc(x)^2. Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: \sec\left(\theta \right)^2 = 1+\tan\left(\theta \right)^2. Applying the trigonometric identity: \csc\left(\theta \right)^2 = 1+\cot\left(\theta \right)^2. Recognize that the trinomial 2+\tan\left(x\right)^2+\cot\left(x\right)^2 is perfect square, so we can rewrite it as \left(\tan\left(x\right)+\cot\left(x\right)\right)^2.