Exercise
$\:cot^2\theta\:\left(sec^2\theta\:-1\right)=1$
Step-by-step Solution
Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity cot(t)^2(sec(t)^2-1)=1. Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \sec\left(\theta \right)^2-1=\tan\left(\theta \right)^2, where x=\theta. Applying the trigonometric identity: \cot\left(\theta\right)=\frac{1}{\tan\left(\theta\right)}. Multiplying the fraction by \tan\left(\theta\right)^2.
Prove the trigonometric identity cot(t)^2(sec(t)^2-1)=1
Final answer to the exercise
true