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Evaluate: `Cosec{Cot^-1(-12/5)}` - Mathematics

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प्रश्न

Evaluate:

`cosec{cot^-1(-12/5)}`

उत्तर

`cosec{cot^-1(-12/5)}=cosec{cot^-1(pi-12/5)}`

`=cosec{cot^-1(12/5)}`

`=cosec{sin^-1((5/12)/sqrt(1+(5/12)^2))}`

`=cosec{sin^-1(5/13)}`

`=cosec{cosec^-1(13/5)}`

`=13/5`

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.09 [पृष्ठ ५८]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.09 | Q 2.2 | पृष्ठ ५८

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