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Evaluate the Following: `Tan^-1(Tan4)` - Mathematics

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प्रश्न

Evaluate the following:

`tan^-1(tan4)`

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उत्तर

We know that

`tan^-1(tantheta)=theta,   -pi/2<theta<pi/2`

We have 

`tan^-1(tan4)=tan^-1[tan(-pi+4)]`

= 4 - π

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.07 [पृष्ठ ४२]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.07 | Q 3.7 | पृष्ठ ४२

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