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Starting from the left-hand side (LHS) of the identity
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$\sin\left(x\right)^2\sec\left(x\right)^2+\sin\left(x\right)^2\csc\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(x)^2sec(x)^2+sin(x)^2csc(x)^2=sec(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. 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}. Multiplying the fraction by \sin\left(x\right)^2.