1. Tardigrade
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  4. If ( cot α+ cot (270°+α)/ cot α- cot (270°+α))-2 cos (135°+α) cos (315°-α)=λ cos 2 α, where α ∈(0, (π/2)), then λ=

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Q. If $\frac{\cot \alpha+\cot \left(270^{\circ}+\alpha\right)}{\cot \alpha-\cot \left(270^{\circ}+\alpha\right)}-2 \cos \left(135^{\circ}+\alpha\right) \cos \left(315^{\circ}-\alpha\right)=\lambda \cos 2 \alpha$, where $\alpha \in\left(0, \frac{\pi}{2}\right)$, then $\lambda=$

Trigonometric Functions

Solution:

Correct answer is (c) 2