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For δAbc , Prove that : Tan ( B + C 2 ) = Cot a 2 - Mathematics

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प्रश्न

For ΔABC , prove that : 

`tan ((B + C)/2) = cot "A/2`

योग

उत्तर

`tan ((B + C)/2) = cot "A/2`

We know that for a triangle ΔABC 

`<A + <B + <C = 180^circ`

`<B + <C = 180^circ - <A`

`(<B + <C)/2 = 90^circ - (<A)/2`

`tan ((B + C)/2) = tan(90^circ - A/2)`

 = `cot(A/2)`

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अध्याय 21: Trigonometric Identities - Exercise 21.3

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 21 Trigonometric Identities
Exercise 21.3 | Q 5.01
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