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Step-by-step Solution
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I. Express the LHS in terms of sine and cosine and simplify
Start from the LHS (left-hand side)
Learn how to solve trigonometric identities problems step by step online.
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 1+sec(x)^2sin(x)^2=sec(x)^2. section:I. Express the LHS in terms of sine and cosine and simplify. Start from the LHS (left-hand side). Rewrite \sec\left(x\right) in terms of sine and cosine. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.