Trig Equations with Half Angles and Multiple Angles angle
2cos 2x 1 cos x 0 2cos 2x cos x 1 0 2cos x 1 cos x 1 0 Now divide the the problem into two parts 2cos x 1 0 or cos x 1 0 cos x 1 2 or cos x 1 x 3 or x 5 3 or x The solution set is S.S. 3, , 5 3 Example : Solve 1 sin cos2 over the interval 0°,360° . Solution : Replace cos2 using a double-angle identity. 1 sin cos2 1 sin 1 2sin 2 ................
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