$\frac{1+\cos\left(x\right)}{1+\sec\left(x\right)}=\cos\left(x\right)$

Learn how to solve identités trigonométriques problems step by step online.

$\frac{1+\cos\left(x\right)}{1+\sec\left(x\right)}$

Learn how to solve identités trigonométriques problems step by step online. (1+cos(x))/(1+sec(x))=cos(x). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \sec\left(\theta \right)=\frac{1}{\cos\left(\theta \right)}. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Apply the formula: \frac{a}{\frac{b}{c}}=\frac{ac}{b}, where a=1+\cos\left(x\right), b=\cos\left(x\right)+1, c=\cos\left(x\right), a/b/c=\frac{1+\cos\left(x\right)}{\frac{\cos\left(x\right)+1}{\cos\left(x\right)}} and b/c=\frac{\cos\left(x\right)+1}{\cos\left(x\right)}.