Home › AP EAPCET (Engineering) › Mathematics › Trigonometry: Trigonometric Ratios upto Transformations › Simplify sinθ/(1 + cosθ) + (1 + cosθ)/sinθ.
Simplify sinθ/(1 + cosθ) + (1 + cosθ)/sinθ.
A2 cosec θ
B2 sin θ
C2 sec θ
D2 cot θ
Answer & Solution
Correct answer: A. 2 cosec θ
Combining gives (sin²θ + 1 + 2cosθ + cos²θ)/(sinθ(1+cosθ)) = 2(1+cosθ)/(sinθ(1+cosθ)) = 2 cosec θ.
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