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For the Principal Value, Evaluate the Following: `Sin^-1(-sqrt3/2)-2sec^-1(2tan Pi/6)` - Mathematics

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प्रश्न

For the principal value, evaluate the following:

`sin^-1(-sqrt3/2)-2sec^-1(2tan  pi/6)`

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उत्तर

`sin^-1(-sqrt3/2)-2sec^-1(2tan  pi/6)=-sin^-1(sqrt3/2)-2sec^-1(2xx1/sqrt3)`

`=-sin^-1(sqrt3/2)-2sec^-1(2/sqrt3)`

`=-sin^-1(sin  pi/3)-2sec^-1(sec  pi/6)`

`=-pi/3-pi/3`

`=-(2pi)/3`

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.04 [पृष्ठ १८]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.04 | Q 2.2 | पृष्ठ १८

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