Final Answer
Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
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$\sec\left(x\right)+\cot\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (tan(x)+cos(x))/sin(x)=sec(x)+cot(x). Starting from the right-hand side (RHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{1}{\tan\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.