For a standard-position angle determined by the point (x, y) what are the values of the trigonometric functions? for the point (9, 12), find csc theta and sec theta (the answer is csc theta = 5/4, sec theta = 5/3 i just need to know how to get the answer)

Refresh if you see errors.see diagram.when dealing with trigonometric functions on a coordinate plane, there is an angle  that is in standard position (standard position meaning initial arm on the positive x-axis, vertex of the angle on the origin).for a point  on the terminal arm of  , with a distance of from the origin, sine and cosine of theta are  defined to be    (which does sort of align with the old opposite/hypo and adjacent/hypo definitions for right triangles).cosecant is the reciprocal of sine and secant is the reciprocal of cosine, so it follows that    we know that  ,  .the distance from origin,  , can be calculated using pythagorean theorem (look at the diagram; there is a right triangle that forms).    therefore:     and