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# Find the Principal Values of Sin^(-1) (-1/2) - CBSE (Science) Class 12 - Mathematics

ConceptBasic Concepts of Trigonometric Functions

#### Question

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 Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 2: Inverse Trigonometric Functions
Q: 1 | Page no. 41

#### Video TutorialsVIEW ALL [3]

Solution Find the Principal Values of Sin^(-1) (-1/2) Concept: Basic Concepts of Trigonometric Functions.
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