Karnataka Board PUCPUC Science 2nd PUC Class 12

Evaluate the Following: `Tan^-1(-1/Sqrt3)+Cot^-1(1/Sqrt3)+Tan^-1(Sin(-pi/2))` - Mathematics

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Evaluate the following:

`tan^-1(-1/sqrt3)+cot^-1(1/sqrt3)+tan^-1(sin(-pi/2))`

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Solution

`tan^-1(-1/sqrt3)+cot^-1(1/sqrt3)+tan^-1(sin(-pi/2))=tan^-1[tan(-pi/6)]+cot^-1(cot  pi/3)+tan^-1(-1)`

`=tan^-1[tan(-pi/6)]+cot^-1(cot  pi/3)+tan^-1[tan(-pi/4)]`

`=-pi/6+pi/3-pi/4`

`=-pi/12`

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

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RD Sharma Class 12 Maths
Chapter 4 Inverse Trigonometric Functions
Exercise 4.06 | Q 3.4 | Page 24

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