3sinx + 4cosx = 5 show tan x = 3/4 Share with your friends Share 1 Anuradha Sharma answered this Given 3sinx +4cos x = 5divide by cos x we get, 3sinxcos x +4 = 5cos x3tanx +4= 5secx Now squaring we get, 9tan2x+16+24tanx =25sec2x9tan2x+16+24tanx =25+25tan2x16tan2x-24tanx+9=0 4tanx -32=0tan x = 34 0 View Full Answer Rajat Khandelwal answered this multiply and divide the eq. by 55(3/5 sinx + 4/5 cosx)5(sinx.cos53 + cosx.sin53)5 sin(x+53) = 5so x+53 = 90x=37tan37 = 3/4 0
