# Find the Principal Values of Sin^(-1) (-1/2) - Mathematics

Find the principal values of sin^(-1) (-1/2)

#### Solution

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

We know that the range of the principal value branch of sin−1 is

[-pi/2, pi/2] and sin (-pi/2) = - 1/2

Therefore, the principal value of sin^(-1) (-1/2) is - pi/6

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 2 Inverse Trigonometric Functions
Q 1 | Page 41