1 step solns A Home End 1) Solve Sin(x) = 0.24 Positive Sin so quadrant 1 & 2 x = Sin-1 0.24 180 0, 360 A T C S 1st solution: x = 13.9° 2nd solution: x = 180 – 13.9 = 166.1° Positive Cos so quadrant 1 & 4 2) Solve Cos(x) = 0.44 x = Cos-1 0.44 180 0, 360 A T C S 1st solution: x = 63.9° 2nd solution: x = 360 – 63.9 = 296.1° 3) Solve Tan(x) = 0.84 Positive Tan so quadrant 1 & 3 x = Tan-1 0.84 180 0, 360 A T C S 1st solution: x = 40.0° 2nd solution: x = 180 + 40.0 = 220.0°
1 step solns B Home End 4) Solve Sin(x) = -0.34 Negative Sin so quadrant 3 & 4 x = Sin-1 0.34 = 19.9º 180 0, 360 A T C S Use positive value 1st solution: x = 180 + 19.9° = 199.9º 2nd solution: x = 360 – 19.9 = 340.1° 5) Solve Cos(x) = -0.77 Negative Cos so quadrant 2 & 3 x = Cos-1 0.77 = 39.6º Use positive value 180 0, 360 A T C S 1st solution: x = 180 – 39.6° = 140.4º 2nd solution: x = 180 + 39.6 = 219.6°