Solve for x :
sin2 60° + cos2 (3x - 9°) = 1
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cos2 30° + cos2 x = 1
cos2 30° + sin2 2x = 1
If 4 cos2 x = 3 and x is an acute angle; find the value of :
(i) x
(ii) cos2 x + cot2 x
(iii) cos 3x
(iv) sin 2x