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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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If cos⁡  20∘=k\cos \,\,20^\circ = k and cos   x=2k2−1cos\;\,x = 2{k^2} - 1, then the possible values of xx between 0∘0^\circ and 360∘360^\circ are
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Correct option: C
40∘40^\circ and 320∘320^\circ
Option C (40∘40^\circ and 320∘320^\circ) is correct because using the double angle formula for cosine, we find that cos(x) = cos(40), leading to x = 40 and x = 360 - 40 = 320.

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