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Evaluate the Following: `Cot^-1{Cot ((21pi)/4)}` - Mathematics

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प्रश्न

Evaluate the following:

`cot^-1{cot  ((21pi)/4)}`

उत्तर

We know that

cot-1 (cot θ) = θ,   (0, π)

We have

`cot^-1{cot  (21pi)/4}=cot^-1[cot(5pi+pi/4)]`

`=cot^-1(cot  pi/4)`

`=pi/4`

 

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.07 [पृष्ठ ४३]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.07 | Q 6.6 | पृष्ठ ४३

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