Start on the left-hand side of the equation and use the Pythagorean Identities to arrive at the right-hand side.
See solution.
Practice makes perfect
We want to verify the given trigonometric identity.
sec ^2 θ -1=tan ^2 θWe will start on the left-hand side and use Trigonometric Identities to arrive at the right-hand side. Let's recall one of the Pythagorean Identities.
1+tan ^2 θ = sec ^2 θ
We can substitute 1+tan ^2 θ for sec ^2 θ in our expression.
We started on the left-hand side of the identity and used a Pythagorean Identity to arrive at the right-hand side. Therefore, we have verified the identity.
