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Find the principal value of cos-1(32) - Mathematics

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Question

Find the principal value of  `cos^(-1) (sqrt3/2)`

Sum

Solution

Let `cos^(-1) (sqrt3/2) = y," Then " cos y = sqrt3/2 = cos (pi/6)`

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

`[0, pi] and cos (pi/6) = sqrt3/2`

Therefore, the priciple value of `cos^(-1) (sqrt3/2) is pi/6`

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Chapter 2: Inverse Trigonometric Functions - Exercise 2.1 [Page 41]

APPEARS IN

NCERT Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Exercise 2.1 | Q 2 | Page 41

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