Question

Help please?(: Is this equation a trigonometric identity? sin^2θ csc^2θ=sin^2θ+cos^2θ

Answer 1

well you need a few trig identities

on the right hand side you have

\[\sin^2(\theta) + \cos^2(\theta) = 1\]

so substitute 1 for sin^2 + cos^2

son csc^ 2 = 1 sin^2

so on the left you have

\[\sin^2(\theta) \times \frac{1}{\sin^2(\theta)}\]

so it should be easy to prove from here

1 = 1

Answer 2

Right, and since the left side is equal to the right side, it is indeed a trig identity? @campbell_st

Answer 3

yes.... by using the appropriate substitution, you're showing 1 = 1... so the trig identity is true

Answer 4

Thanks!