46.9k views
3 votes
Prove that: 1-sin^2x cos*2x/cos^2x = tan^2x + cos^2x

Prove that: 1-sin^2x cos*2x/cos^2x = tan^2x + cos^2x-example-1

1 Answer

5 votes

LHS = (1-sin² cos²)/(cos²)

= (sin² + cos² - sin² cos²)/(cos²)

= (sin/cos)² + 1 - sin²

= tan² + cos²

= RHS

User Mittenchops
by
3.6k points