alleryIf tan θ + cot θ = 2, find sin 2θ:
A1/2
B1
C0
D2
Answer & Solution
Correct answer: B. 1
We have tan θ + cot θ = sinθ/cosθ + cosθ/sinθ.
That is tan θ + cot θ = (sin²θ + cos²θ)/(sinθ cosθ).
That is tan θ + cot θ = 1/(sinθ cosθ).
So tan θ + cot θ = 2/sin(2θ).
We have **So 2/sin(2θ) = 2 → sin(2θ).
So **So 2/sin(2θ) = 1.**.
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