1-1/cos^2beta

Question

Simplify the following expression using the fundamental identities. Enter the fully simplified answer.

Answer 1

1 - 1/cos²β = (cos²β - 1) / cos²β =  -(1 - cos²β) / cos²β = -sin²β / cos²β = -tan²β

Answer 2

1-1/cos^2 B =(cos^2 B - 1)/cos^2 B =-sin^2 B / cos^2 B =-tan^2 B