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In △ABC sin^4A + sin^4B + sin^4C = sin^2B sin^2C + 2sin^2C sin^2A + 2sin^2A sin^2B, then ∠A =

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In △ABC sin4A + sin4B + sin4C = sin2B sin2C + 2sin2C sin2A + 2sin2A sin2B, then ∠A =

(a) \(\frac \pi 6, \frac{5\pi}6\)

(b) \(\frac \pi 6, \frac{5\pi}3\)

(c) \(\frac{5\pi}6, \frac \pi 3\)

(d) None of these

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Correct option is (a) \(\frac \pi 6, \frac{5\pi}6\) 

Given equation is,

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