sin5x-2sin3x+sinx/cos5x-cosx=tanx
Urmila Bahl
Asked: 3 years ago2022-10-29T01:28:52+05:30
2022-10-29T01:28:52+05:30In: Class 11
Sin5x-2sin3x+sinx/cos5x-cosx=tanx
Sin5x-2sin3x+sinx/cos5x-cosx=tanx
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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.