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If $C o s 20^{0} = k$ and $\cos x = 2 k^{2} - 1$ , then the possible values of x between 0⁰ and 360⁰ are

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140^{0}

40^{0} a n d 140^{0}

40^{0} a n d 320^{0}

50^{0} a n d 130^{0}

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detailed solution

Correct option is C

$\cos 20^{0} = K; \cos x = 2 K^{2} - 1$

$= 2 \cos^{2} 20^{0} - 1 = \cos 40^{0}$

on verification $x = 40^{0} & 320^{0}$ satisfies

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If Cos200=k and cosx=2k2−1, then the possible values of x between 00 and 3600 are