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If cos(75° - ψ) = sin(60° - θ), then the value of cot(θ + ψ) is (Assume that ψ and θ are both positive acute angles with ψ < 75° and θ < 60°)

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If cos(75° - ψ) = sin(60° - θ), then the value of cot(θ + ψ) is

(Assume that ψ and θ are both positive acute angles with ψ < 75° and θ < 60°)
1). 1
2). √3
3). 1/√3
4). √3/2


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Answered by on | Votes 0 |

Cos(75° - ψ) = sin(60° - θ)

⇒ 75° - ψ = 60° - θ = 45°

⇒ ψ = 30°; θ = 15°

∴ cot(θ + ψ) = cot 45° = 1

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