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Starting from the left-hand side (LHS) of the identity
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$\sec\left(x\right)^2+\csc\left(x\right)^2$
Learn how to solve problems step by step online. Prove the trigonometric identity sec(x)^2+csc(x)^2=1/(sin(x)^2cos(x)^2). Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors.