in exercise 97102 find the indicated trigonometric value in

in exercise 97-102, find the indicated trigonometric value in the specified quadrant sec theta + -9/4 quadrant III tan theta

Solution

sec theta = -9/4

hypotenuse =9 , adjacent side =4

opposite side²+adjacent side² =hypotenuse²

opposite side²+4² =9²

opposite side²+16 =81

opposite side²=65

opposite side=65

tan is positive in ||| quadrant

tan theta =oppositeside/adjacent side

tan theta =(65)/4