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| 1. |
sin5x-2sin3x+sinx/cos5x-cosx=tanx |
| Answer» sin5x + sinx = 2sin3x cos2x\xa0cos5x - cosx = -2sin3x sin2x ..... use factorisation formulae of trigonometry.\xa0So the fraction is 2sin3x(cos2x-1)/ - 2sin3xsin2x\xa0= (1- cos2x)/sin2x\xa0= 2(sin2x)/ 2sinxcosx\xa0=sinx/cosx\xa0=tanx. | |