Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Combine fractions with different denominator using the formula: $\displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}$
Learn how to solve trigonometric identities problems step by step online.
$\frac{1}{1+\tan\left(x\right)}+\frac{1}{1+\cot\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 1/(1+tan(x))+1/(1+cot(x))=1. Starting from the left-hand side (LHS) of the identity. 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}. Multiply the single term 1+\cot\left(x\right) by each term of the polynomial \left(1+\tan\left(x\right)\right). Multiply the single term \tan\left(x\right) by each term of the polynomial \left(1+\cot\left(x\right)\right).