#### Question

Find the value of `cos^(-1) (1/2) + 2 sin^(-1)(1/2)`

#### Solution

Let cos^(-1) (1/2) = x. Then, `cos x = 1/2 = cos(pi//3)`

`:. cos^(-1) (1/2) = pi/3`

Let `sin^(-1) (1/2) = y`, Then `sin y = 1/2 = sin (pi/6)`

`:. sin^(-1)(1/2) = pi/6`

`:. cos^(-1) (1/2) + 2 sin^(-1) (1/2) = pi/3 + (2pi)/6 = pi/3 + pi/3 = (2pi)/3`

Is there an error in this question or solution?

Solution Find the Value of `Cos^(-1) (1/2) + 2 Sin^(-1)(1/2)` Concept: Basic Concepts of Trigonometric Functions.