Indicate the two quadrants theta could terminate in given th

Indicate the two quadrants theta could terminate in given the value of the trigonometric function. (Select all that apply.) sin theta = 40/41 quadrant I quadrant II quadrant III quadrant IV

Solution

We have given,

sin = 40/41

=> = arcsin(40/41)

=> = 77.3 degrees, 180- 77.3 = 102.7 degrees

Hence is in first and second quadrant.