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# How to prove trigonometric identities?

How would you prove this problem?

tan^2 θ cos^2 θ + cot^2 θ sin^2 = 1

please explain

thanks

### 1 Answer

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- BrambleLv 76 years agoFavorite Answer
This is about as easy as this subject gets:

tan² θ cos² θ + cot² θ sin²θ = 1

LHS = (sin²θ/cos²θ) × cos² θ+ (cos²θ/sinθ²) × sin²θ = sin²θ + cos²θ = 1 = RHS as required

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