Question

please help me to solve this question friends
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Answer 1

Answer:

Answer is (A) π/3

Step-by-step explanation:

Given,

A > B, and

A and B satisfy (3sinx - 4sin³x - k  = 0, 0 < k < 1)

⇒ A and B satisfy (sin3x - k  = 0, 0 < k < 1)

Now,

x = 10° OR 15° OR 20°                                                       (∵ 0 < sin3x = k < 1)

According to the options,

If we take the least values of ∠A and ∠B, that is ∠A = 30° and ∠B = 45° ( which makes their sum = 75°), then, 180° - 75° < options (B)(C)(D)

Thus, we are left with option (A).

Hope it helps!!!