1.

Sin2 θ . Cot2 θ + Cos2 θ . Tan2 θ =A) 0 B) 2 C) 1 D) -1

Answer»

Correct option is: C) 1

\(Sin^2 \theta . Cot^2 \theta + Cos^2 \theta . Tan^2 \theta\)

= \(sin^2\theta.\frac {cos^2\theta}{sin^2\theta} + cos^2\theta. \frac {sin^2\theta}{cos^2\theta}\) (\(\because\) tan \(\theta\) = \(\frac {sin\, \theta}{cos\, \theta}\) & cot \(\theta\) = \(\frac {cos\, \theta}{sin \, \theta}\))

= \(cos^2\theta + sin^2\theta \)

= 1 (\(\because\) \(cos^2\theta + sin^2\theta \) = 1)

Correct option is: C) 1


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