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

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प्रश्न

Evaluate the following:

`cos(tan^-1  24/7)`

उत्तर

`cos(tan^-1  24/7)=cos[cos^-1  1/sqrt(1+(24/7)^2)]`    `[therefore tan^-1x=cos^-1  1/sqrt(1+z^2)]`

`=cos[cos^-1  1/sqrt(1+576/49)]`

`=cos[cos^-1  1/(25/7)]`

`=cos[cos^-1  7/25]`

`=7/25`

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.08 [पृष्ठ ५४]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.08 | Q 1.9 | पृष्ठ ५४

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