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.
csc^2 θ - cot^2 θ = 1We 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 + cot ^2 θ = csc ^2 θ
We can substitute 1+cot ^2 θ for csc ^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.
