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

1 Answer
Nghi N.
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^@#

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