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Find the Value Of `Tan^(-1) [2cos(2sin^(-1) 1/2)]` - CBSE (Science) Class 12 - Mathematics

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Question

Find the value of  `tan^(-1) [2cos(2sin^(-1) 1/2)]`

Solution

Let `sin^(-1)  1/2  = x. " Then " sin x = 1/2 = sin (pi/6)`

`:. sin^(-1)  1/2 = pi/6`

`:. tan^(-1) [2cos(2sin^(-1) 1/2)] = tan^(-1) [2 cos (2 xx pi/6)]`

`=tan^(-1) [2 cos  pi/3] = tan^(-1) [2 xx1/2]`

`= tan^(-1) 1 =  pi/4`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 2: Inverse Trigonometric Functions
Q: 11 | Page no. 48
Solution Find the Value Of `Tan^(-1) [2cos(2sin^(-1) 1/2)]` Concept: Properties of Inverse Trigonometric Functions.
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