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Find the principal value of the following: cot-1(-3) - Mathematics

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Question

Find the principal value of the following:

`cot^-1(-sqrt3)`

Sum
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Solution

Let `cot^-1(-sqrt3)` = y

Then,

cot y = `-sqrt3`

We know that the range of the principal value branch is (0, π)

Thus,

cot y = `-sqrt3 = cot((5pi)/6)`

`\implies` y = `(5pi)/6in(0, pi)`

Hence, the principal value of `cot^-1(-sqrt3)` is `(5pi)/6.`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.06 [Page 24]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.06 | Q 1.1 | Page 24

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