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Find the value of sin^–1 [sin (– (17π)/8)]. - Mathematics

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Question

Find the value of `sin^-1 [sin (- (17π)/8)]`.

Sum
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Solution

`sin^-1 [sin ((-17π)/8)]`

= `- sin^-1 [sin((17π)/8)]`

= `- sin^-1 [sin(2π + π/8)]`

= `- sin^-1 sin  π/8` 

= `- π/8`

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2019-2020 (March) Delhi Set 1
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