Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2$
Learn how to solve trigonometric identities problems step by step online.
$\left(\tan\left(x\right)^2+1\right)\left(\cos\left(x\right)^2-1\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (tan(x)^2+1)(cos(x)^2-1)=-tan(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. Multiply the single term \sec\left(x\right)^2 by each term of the polynomial \left(\cos\left(x\right)^2-1\right). Applying the trigonometric identity: \cos\left(\theta\right)\cdot\sec\left(\theta\right)=1.