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CUET
General Test
Quantitative Reasoning
Trigonometry
If cot67θ + tan133θ = 2, find sin2θ + 2cosθ.
√2 + 1
√2 - 1
1 + √2
1 - √2
If cotnθ + tannθ = 2 then cotθ = tanθ = 1 where θ = 45°
Now,
⇒ sin2θ + 2cosθ = 1 + 2 × (\(\frac{1}{√2}\))
= 1 + √2