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For the Principal Value, Evaluate the Following: `Sin^-1(-sqrt3/2)+Cosec^-1(-2/Sqrt3)` - Mathematics

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प्रश्न

For the principal value, evaluate the following:

`sin^-1(-sqrt3/2)+\text{cosec}^-1(-2/sqrt3)`

संक्षेप में उत्तर
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उत्तर

`sin^-1(-sqrt3/2)+cosec^-1(-2/sqrt3)=-sin^-1(sqrt3/2)+cosec^-1(-2/sqrt3)`

`=-sin^-1(sin  pi/3)+cosec^-1[cosec(-pi/3)]`

`=-pi/3-pi/3`

`=-(2pi)/3`

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.05 [पृष्ठ २१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.05 | Q 3.1 | पृष्ठ २१

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