To calculate for cos X given that sin X=0.6 and is in Quadrant we proceed as follows: sin X=0.6 Thus implies that: x=arcsin 0.6 x=36.97 given that X is in the Quadrant ii then the value of x will be: 180-36.97 =143.13 hence cos X will be: cos X=cos 143.13 cos X=-0.8