prove the following trigonometric identity

Question

   sin²Ø-1        =          1                -1

   tan²∅-1                sin²∅

 

 

Answer 1

Brian, I think there is an error in the question, as stated.

Let's take Φ = π/3

LHS = (3/4 -1) / (3 - 1) = - 1/8

But RHS = 1 / (3/2) - 1 = -1/3

They aren't the same so it can't be an identity which is true for all angles.