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Sin-1(sin12) - Mathematics

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Question

`sin^-1(sin12)`

Sum
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Solution

We know

`sin(sin^-1theta)=theta if - pi/2<=theta<=pi/2`

We have

= `sin^-1sin36°`

= `- sin^-1sin(4pi-12)`

= `-(4pi-12)`

= `-4pi+12`

= `12-4pi`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.07 [Page 42]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.07 | Q 1.09 | Page 42

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