Find the value of the indicated trigonometric function of th

Find the value of the indicated trigonometric function of the angle theta in the figure. Give an exact answer with a rational denominator. A. sec theta = 2squareroot85/9 B. sec theta = squareroot85/2 C. sec theta = 9squareroot85/85 D. sec theta = 2squareroot85/85

Solution

opposite side =9

adjacent side =2

by pythogorus theorem hypotenuse =[9²+2²]=85

sec =hypotenuse/adjacentside =(85)/2