If A, B, C are interior angle of a triangle abc then show tan (A+B/2)

1.	If A, B, C are interior angle of a triangle abc then show tan (A+B/2) =cot c/2
Answer» Step-by-step explanation: In A triangle , A + B + C = 180°[ANGLE Sum Property Of Triangle] Divide both SIDES by 2 A + B + C/2 = 180/2 A + B/2 + C /2 = 90 A + B/2 = 90 - C/2 Taking Tan On both sides , Tan (A + B/2) = Tan(90 - C/2) Tan (A +B/2) = Cot (C/2) Hence Proved.....

If A, B, C are interior angle of a triangle abc then show tan (A+B/2) =cot c/2

Answer»

Step-by-step explanation:

In A triangle ,

A + B + C = 180°[ANGLE Sum Property Of Triangle]

Divide both SIDES by 2

A + B + C/2 = 180/2

A + B/2 + C /2 = 90

A + B/2 = 90 - C/2

Taking Tan On both sides ,

Tan (A + B/2) = Tan(90 - C/2)

Tan (A +B/2) = Cot (C/2)

Hence Proved.....

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If A, B, C are interior angle of a triangle abc then show tan (A+B/2) =cot c/2

Hence Proved.....

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