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sin 2 A/2+sin 2 B/2+sin 2 C/2 are in hp then prove that a,b,c are in hp

sin2A/2+sin2B/2+sin2C/2 are in hp then prove that a,b,c are in hp

Grade:11

2 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
Write the AP average term in context to the HP given :
1/Sin2A/2, 1/Sin2B/2, 1/Sin2C/2...(AP)
Write the average of this AP.
Convert Sin2X/2= (1-cosX)/2

Use the cosine law to indulge the sides a,b,c into the eqn.
Simplify to get the answer.
Vasudevamurthy
11 Points
6 years ago
http://www.askiitians.com/forums/Trigonometry/sin-2-a-2-sin-2-b-2-sin-2-c-2-are-in-hp-then-prove that a,b,c are in hp

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