How do you find all values of theta for which sec(theta)=2 where 0^° < theta < 540^°?

1 Answer
Jun 22, 2018

60^@, 300^@, 420^@

Explanation:

sec t = 2 --> cos t = 1/(sec) = 1/2
Trig table and unit circle give 2 solutions for t:
t = +- pi/3, or t = +- 60^@
Note. t = - 60 is co-terminal to t = 300

Answers for (0, 540^@):
60^@, 300^@, 420^@