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CUET
General Test
Quantitative Reasoning
Trigonometry
If cotθ = cot 30° cot 60° and θ is an acute angle, then 2θ is equal to:
90°
60°
45°
30°
cotθ = cot 30° cot 60°
= √3 . \(\frac{1}{ √3 }\)
= 1
{ we know, cot45º = 1 }
So, θ = 45º
Now, 2θ = 2 × 45º
= 90º