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If theta = 30°,
a) sin 3×30° = 3 sin30 - 4sin^3×30°
sin90 = 3×1/2 - 4×(1/2)^3
1 = 3/2 - 4×1/8
1 = 3/2- 4/8
1 = 3/2 - 1/2
1 = 3-1/2
1 = 2/2
1 = 1