Question

Solve the equation -3 cos t=1 in the interval from 0 < theta < 2pi. Round to the nearest hundredth.

Answer 1

so you need to divide both sides of the equation by -3

which results in

\[\cos(t) = \frac{-1}{3}\]

so you need to know there are 2 solutions, 2 quadrants where t is negative

so just find

\[\cos(t) = \frac{1}{3}\]

so just solve for t as a 1st quadrant angle

then use

2nd quadrant 180 - t

3rd quadrant 180 + t

to find the 2 solutions