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$\cot\left(x\right)\sec\left(x\right)^2$
Learn how to solve problems step by step online. Prove the trigonometric identity cot(x)+tan(x)=cot(x)sec(x)^2. Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: \sec\left(\theta \right)^2 = 1+\tan\left(\theta \right)^2. Multiply the single term \cot\left(x\right) by each term of the polynomial \left(1+\tan\left(x\right)^2\right). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}.