Final answer to the problem
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $\cot\left(\theta \right) = \frac{1}{\tan\left(\theta \right)}$
Learn how to solve trigonometric identities problems step by step online.
$\frac{\tan\left(x\right)+\tan\left(y\right)}{\cot\left(x\right)+\cot\left(y\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (tan(x)+tan(y))/(cot(x)+cot(y))=tan(x)tan(y). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{1}{\tan\left(\theta \right)}. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{1}{\tan\left(\theta \right)}. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}.