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°)
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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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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