मराठी

Evaluate the Following: `Sin(Tan^-1 24/7)`

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प्रश्न

Evaluate the following:

`sin(tan^-1  24/7)`

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उत्तर

`sin(tan^-1  24/7)=sin(sin^-1  (24/7)/sqrt(1+(24/7)^2))`   `[thereforetan^-1x=x/sqrt(1+x^2)]`

`=sin(sin^-1  (24/7)/sqrt(1+576/49))`

`=sin(sin^-1  (24/7)/sqrt(625/49))`

`=sin(sin^-1  (24/7)/(25/7))`

`=24/25`

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पाठ 3: Inverse Trigonometric Functions - Exercise 4.08 [पृष्ठ ५४]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 3 Inverse Trigonometric Functions
Exercise 4.08 | Q 1.3 | पृष्ठ ५४
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