Matematika 1. Menentukan Himpunan Penyelesaian {HP} Sin X 0 = 1/2 V3 , 0 < X < 300 penyelesaian : Sin X 0 = Sin 1/2V3 sin x = sin 60 sin x = 60+k.360 k --> 0 = 60+ (0)360 = 60 k--> -1 = 60+(-1)360 = -300 HP = {60;300} Cos X 0 = 4/5 , 0 < X < 300 Cos x = Cos 0,8 Cos x = Cos 36 0 ,52' Cos x = 36,09 0 Cos x = 36,09 + k.360 k ----> 0 = 36,09 + (0) 360= 36,09 k-----> -1 = 36,09 + (-1)360 = -323,91 HP = {36,09 ; -323,91} Sin X 0 = -1/2 , 0 < X < 2π Sin x = - Sin 30 Sin x = Sin (180+30) Sin x = sin 210 Sin x = 210+k.360 k --> 0 = 210 k --> -1 = 210 + (-1)360 = -150 HP = { 210 ; -150} Cos X 0 = -1/2 V2 , 0 < X < 2π 2 π = 2x180 = 360 Cos x = Cos -1/2 Cos x = -Cos 60 Cos x = Cos (180-60) Cos x = Cos 120 Cos x = 120 + k.360 k --> 0 = 120 k --> -1 = 120+ (-1) 360= -240 HP = {120 ; -240 } Tan X 0 = 1/V3 , 0 < X < π π = 180 Tan x = Tan 1/3 V3 Tan x = Tan 30 Tan x = 30 + k.360 k --> 0 = 30 k --...
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