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Prove that: tan-1(43)+tan-1(17)=π4 - Business Mathematics and Statistics

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प्रश्न

Prove that:

`tan^-1 (4/3) + tan^-1 (1/7) = pi/4`

बेरीज

उत्तर

LHS = `tan^-1 (4/3) + tan^-1 (1/7)`

`= tan^-1 ((4/3 - 1/7)/(1 + 4/3 * 1/7))`

`= tan^-1 ((28 - 3)/(21 + 4))`

`= tan^-1 (1) = pi/4` = RHS

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पाठ 4: Trigonometry - Exercise 4.4 [पृष्ठ ९२]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 4 Trigonometry
Exercise 4.4 | Q 2. (ii) | पृष्ठ ९२
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