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.
$\frac{\csc\left(x\right)}{1+\csc\left(x\right)}+\frac{-\csc\left(x\right)}{1-\csc\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity csc(x)/(1+csc(x))+(-csc(x))/(1-csc(x))=2sec(x)^2. 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}. Simplify the product -(1+\csc\left(x\right)). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2..