Learn how to solve integral calculus problems step by step online. Prove the trigonometric identity cos(x)^2=(1-cos(x)^2)/(tan(x)^2). Starting from the right-hand side (RHS) of the identity. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.

Prove the trigonometric identity cos(x)^2=(1-cos(x)^2)/(tan(x)^2)