The value of cos-1(1/2) + 2sin-1(1/2) is

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The value of cos^-1(1/2) + 2sin^-1(1/2) is equal to-

Options:

-2π/3

2π/3

-π/3

π/3

Correct Answer:

2π/3

Explanation:

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

so cos^-1 (1/2) = (π/3)

Let, sin^-1(1/2) = y. Then sin y = 1/2= sin(π/6)

so sin^-1 (1/2) = (π/6)

so cos^-1(1/2) + 2sin^-1(1/2) = (π/3) + (2π/6) = (2π/3)