Jon S. answered • 06/27/20

Patient and Knowledgeable Math and English Tutor

the secant is the inverse of the cosine

so cos theta = 1/(sec theta) = 3/4

sin ^2 theta + cos^2 theta = 1 (basic trig identity)

sin ^2 theta + 9/16 = 1

sin ^2 theta = 7/16

sin theta = 7^0.5/4

since angle located in Quadrant IV, sin theta = -7^0.5/4

Maggie D.

thank you06/27/20