The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.
Solve for the hypotenuse of the right triangle formed. h = sqrt((-1)² + (1)²) = √2 Below items show the calculation for each of the trigonometric functions.
sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2 cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2 tan θ = opposite/adjacent = y/x = -1/1 = -1
