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For the Principal Value, Evaluate the Following: `Tan^-1sqrt3-sec^-1(-2)` - Mathematics

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Question

For the principal value, evaluate the following:

`tan^-1sqrt3-sec^-1(-2)`

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Solution

`tan^-1sqrt3-sec^-1(-2)=tan^-1(tan  pi/3)-sec^-1(sec  (2pi)/3)`

`=pi/3-(2pi)/3`

`=-pi/3`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.04 [Page 18]

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RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.04 | Q 2.1 | Page 18

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