Question text not available

Answer:

To find the values of the six trigonometric functions for the angle θ with the terminal side passing through (5, 2), first identify the coordinates x 5 and y 2. Since the xcoordinate is positive and the ycoordinate is negative, the point is in Quadrant IV. Next, calculate the radius (r) using the Pythagorean theorem: r √(5² (2)²) √(25 4) √29. Then apply the trigonometric definitions: sin(θ) y/r 2/√29 2√29/29 cos(θ) x/r 5/√29 5√29/29 tan(θ) y/x 2/5 csc(θ) r/y √29/2 sec(θ) r/x √29/5 cot(θ) x/y 5/2