cot-1 [(cos α)(1/2)] + tan-1[(cos α)(1/2)] = x then sin x =

Question

cot-1 [(cos α)(1/2)] + tan-1[(cos α)(1/2)] = x then sin x =  (A) 1 (B) cot2(α/2) (C) tan α (D) cot(α/2)

Tardigrade Admin · Accepted Answer

Using tan-1 θ + cot-1 θ = (π/2) =x ∴ sin x - sin (π/2) -1

Q. $co t^{- 1} [(cos α)^{\frac{1}{2}}] + t a n^{- 1} [(cos α)^{\frac{1}{2}}] = x$ then $s in x =$