In the following diagram angle theta is in standard position

In the following diagram, angle theta is in standard position. In each case, find sin theta, cos theta, and tan theta. sin theta = cos theta = tan theta =

Solution

point is (3,4)

tan theta=y/x=4/3

opposite=4 and adjacent=3

hypotenuse=sqrt(16+9)=5

sin theta=opposite/hypotenuse=4/5

cos theta=adjacent/hypotenuse=3/5