Pick two of the following equations to solve for theta. Make sure you show all of your work. Show the work as equations and give exact radian measure. No decimals.

Question

For all three of them: 0 ≤ theta < 2 pi

A) 5 (sin theta + 1) = 5
B) cos theta + sqrt 3 = - cos theta
C) 7tan theta = 2 sqrt 3 + tan theta

Answer 1

A) 5(sin theta + 1) = 5
5sin theta + 5 = 5
5sin theta = 0
sin theta = 0
theta = 0, pi

B) cos theta + sqrt(3) = -cos theta
2cos theta = -sqrt(3)
cos theta = -sqrt(3)/2
theta = 5pi/6, 7pi/6

C) 7tan theta = 2sqrt(3) + tan theta
6tan theta = 2sqrt(3)
tan theta = sqrt(3)/3
theta = pi/6, 7pi/6