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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Show that tan-1 12-tan-1 14=tan-1 29. - Mathematics and Statistics

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प्रश्न

Show that `tan^-1  1/2 - tan^-1  1/4 = tan^-1  2/9`.

बेरीज
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उत्तर

LHS = `tan^-1  1/2 - tan^-1  1/4`

`= tan^-1 [(1/2 - 1/4)/(1 + (1/2)(1/4))]`

`= tan^-1 ((4 - 2)/(8 + 1))`

`= tan^-1 (2/9)` = RHS.

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पाठ 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ ११०]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 30 | पृष्ठ ११०

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