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Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Factor the polynomial $\sec\left(a\right)^2+\sec\left(a\right)^2\tan\left(a\right)^2$ by it's greatest common factor (GCF): $\sec\left(a\right)^2$
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$\sec\left(a\right)^2+\sec\left(a\right)^2\tan\left(a\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sec(a)^2+sec(a)^2tan(a)^2=sec(a)^4. Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sec\left(a\right)^2+\sec\left(a\right)^2\tan\left(a\right)^2 by it's greatest common factor (GCF): \sec\left(a\right)^2. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. When multiplying exponents with same base we can add the exponents.