English

`Sin^-1(Sin3)`

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Question

`sin^-1(sin3)`

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Solution

We know

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

We have

`sin^-1(sin3)=sin^-1{sin(pi-3)}`

= π - 3

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Chapter 3: Inverse Trigonometric Functions - Exercise 4.07 [Page 42]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 3 Inverse Trigonometric Functions
Exercise 4.07 | Q 1.07 | Page 42
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