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Find the Value of `Cos^(-1) (1/2) + 2 Sin^(-1)(1/2)` - CBSE (Commerce) Class 12 - Mathematics

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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`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 2: Inverse Trigonometric Functions
Q: 12 | Page no. 42
Solution Find the Value of `Cos^(-1) (1/2) + 2 Sin^(-1)(1/2)` Concept: Basic Concepts of Trigonometric Functions.
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