Question

. Find the value of thetatheta that makes each statement true.
a. sintheta=cos(theta+38).

Answer 1

26 degrees.

Explanation:

sin theta = cos (theta + 38)

sin theta = cos theta cos 38 - sin theta sin 38

sin theta + sin theta sin 38 = cos theta cos 38

Using the values of sin 38 and cos 38:

1.61566 sin theta = 0.78801 cos theta

Divide both sides by cos theta (remember that tan theta = sin theta/cos theta)

1.61566 tan theta =0.78801

tan theta = 0.48773

Theta = 26 degrees.