Find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 27π /4

Here Radian measure of an angle=27π/4

we have to find the value of six trigonometric functions.

First i have converted radian measure of an angle into degrees.

27π/4=(27×180)÷4=1215°=3 Quadrants +135°=135°

which lies in second Quadrant.

As in second quadrant only sine, cosec ,function are positive.All other trigonometric function i.e cos,sec,tan,cot function will be of negative value.

the answer to this question is in the pic

answer:

c. the third graph