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Starting from the right-hand side (RHS) of the identity
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$\sec\left(x\right)^2+2\tan\left(x\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity (1+tan(x))^2=sec(x)^2+2tan(x). 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. We can try to factor the expression 1+\tan\left(x\right)^2+2\tan\left(x\right) by applying the following substitution. Substituting in the polynomial, the expression results in.