Final answer to the problem
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.
$\frac{\cos\left(x\right)}{1-\sin\left(x\right)}+\frac{-\cos\left(x\right)}{1+\sin\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(x)/(1-sin(x))+(-cos(x))/(1+sin(x))=2tan(x). 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-\sin\left(x\right)). Solve the product of difference of squares \left(1-\sin\left(x\right)\right)\left(1+\sin\left(x\right)\right).