Question

Find the value of cos ⁻¹(1/2)+2sin⁻¹(1/2)

Answer 1

We know that the range of the principal value branch of sin⁻¹ is [-π/2,π/2].

∴sin⁻¹(1/2)=π/6

Now,

cos⁻¹(1/2)+2sin ⁻¹(1/2)=π/3+2×π/6=π/3+π/3=2π/3.