Question

cot-1[(cosα)1/2] + tan-1[(cosα)1/2] = x then sinx =

(a) 1

(b) cot2 (α/2)

(c) tanα

(d) cot(α/2)

Answer 1

(a) : Using tan-1θ + cot-1θ = π/2 = x

∴u200b sinx = sinπ/2 = 1