If tan θ = cot (30° + θ), find the value of θ.

Question

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Anonymous · Accepted Answer

we have, tan θ = cot (30° + θ)
cot (90°-θ) = cot (30°+ θ)
⇒90° - θ = 30° + θ
2θ = 60°
⇒ θ = 30°

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