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Question 144
What is the simplified value of [1+ $$cos^{2}$$ θ $$cosec^{2}$$ θ] - $$cot^{2}$$ θ?
Solution
Expression : $$[1+cos^2\theta cosec^2\theta]-cot^2\theta$$
= $$[1+\frac{cos^2\theta}{sin^2\theta}]-cot^2\theta$$
= $$1+cot^2\theta-cot^2\theta=1$$
=> Ans - (C)
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