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Prove that sin5x-2sin3x+sinx/cos5x-cosx=tanx |
| sin5x + sinx = 2sin3xcos2x cos5x - cosx = -2sin3xsin2x. sin5x-2sin3x+sinx/cos5x-cosx = 2sin3x(cos2x-1)/ - 2sin3xsin2x = (1- cos2x)/sin2x = 2(sinx)2/ 2sinxcosx =sinx/cosx =tanx. |
