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Find the Principal Value of Tan^(-1) (-sqrt3) - CBSE (Science) Class 12 - Mathematics

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Question

Find the principal value of `tan^(-1) (-sqrt3)`

Solution

Let `tan^(-1) (-sqrt(3)) = y`. Then `tan y = - sqrt3 = - tan pi/3 = tan (- pi/3)`

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

`(-pi/2, pi/2) and tan(-pi/3) is - sqrt3`

Therefore, the principal value of  `tan^(-1) (sqrt3) " is " - pi/3`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 2: Inverse Trigonometric Functions
Q: 4 | Page no. 41
Solution Find the Principal Value of Tan^(-1) (-sqrt3) Concept: Basic Concepts of Trigonometric Functions.
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