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Question:
Question 8: If angles A,B,C of a Δ ABC form an increasing AP, then sin B =
Answer:

Given, angles A, B, C are in AP

Let first term is a and common difference is d of the AP

Let A = a - d, B = a, C = a + d

Now, A + B + C = 180

=> a - d + a + a + d = 180

=> 3a = 180

=> a = 180/3

=> a = 60

So, B = 60

Now, sin B = sin 60 = √3/2

 

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