
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