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Starting from the left-hand side (LHS) of the identity
Learn how to solve integrals of exponential functions problems step by step online.
$\sec\left(x\right)^2\cot\left(x\right)-\cot\left(x\right)$
Learn how to solve integrals of exponential functions problems step by step online. Prove the trigonometric identity sec(x)^2cot(x)-cot(x)=tan(x). Starting from the left-hand side (LHS) of the identity. Factor the polynomial \sec\left(x\right)^2\cot\left(x\right)-\cot\left(x\right) by it's greatest common factor (GCF): \cot\left(x\right). Apply the trigonometric identity: \sec\left(\theta \right)^2-1=\tan\left(\theta \right)^2. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}.