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3sin^2x-cos^2x
= 3 (1 - cos^2x) -cos^2x = 3 - 4 cos^2x Hence 4 cos^2x = 3 cos^2 x = 3/4 cos x = (+ or -) sqrt (3)/2 Remember: cos 30 = sqrt (3)/2 And cos (180 - 30) = - cos 30 From above: x = 30, 150,. In the second case: sin^2x = 3/4 On same principles, sin^2 60 = 3/4, sin^2 (180 +60) = 3/4 x = 60, 240,. |
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