Exercise
$\left(1-cos^2\left(x\right)\right)\left(1+\frac{1}{tan^2\left(x\right)}\right)=1$
Step-by-step Solution
Learn how to solve problems step by step online. Prove the trigonometric identity (1-cos(x)^2)(1+1/(tan(x)^2))=1. Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Combine all terms into a single fraction with \tan\left(x\right)^2 as common denominator. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2.
Prove the trigonometric identity (1-cos(x)^2)(1+1/(tan(x)^2))=1
Final answer to the exercise
true