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Evaluate the Following: `Cosec^-1(Cosec (3pi)/4)` - Mathematics

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प्रश्न

Evaluate the following:

`cosec^-1(cosec  (3pi)/4)`

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उत्तर

We know that

cosec-1 (cosec θ) = θ,    [-π/2,0) ∪ (0,π/2]

`cosec^-1(cosec  (3pi)/4)=cosec^-1[cosec(pi-pi/4)]`

`=cosec^-1(cosec  pi/4)`

`=pi/4`

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.07 [पृष्ठ ४२]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.07 | Q 5.2 | पृष्ठ ४२

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