If sin θ = √3/2, then (cosec θ + cot θ) = ?

Given: sin θ = √3/2


Therefore, cosec θ = 1/sin θ = 2/√3


cos θ = √(1 – sin2 θ)


= √(1 – (3/4))


= √(1/4)


= 1/2


cot θ = cos θ/sin θ = (1/2)/√3/2


= 1/√3


Therefore, (cosec θ + cot θ) = (2/√3) + (1/√3)


= 3/√3


= √3

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