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Find the value, if it exists. If not, give the reason for non-existence tan-1(sin(-5π2)) - Mathematics

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प्रश्न

Find the value, if it exists. If not, give the reason for non-existence

`tan^-1(sin(- (5pi)/2))`

योग
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उत्तर

`tan^-1(sin(- (5pi)/2)) = tan^-1[ - sin  (5pi)/2]`

= `tan^-1 (- sin(2pi + pi/2))`

= `tan^-1 (- sin  pi/2)`

= `tan^-1 (- 1)`

= `- tan^-1 (1)`

= `- pi/4`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Inverse Trigonometric Functions - Exercise 4.5 [पृष्ठ १६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.5 | Q 1. (ii) | पृष्ठ १६६

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