Solve sec x = 1.788, 0°<x<720° ?

1 Answer
Nghi N
May 21, 2018

#60^@, 300^@; 420^@; 660^@#

Explanation:

sec x = 1.788
#cos x = 1/(sec x) = 1/1.788 = 0.559#.
Calculator and unit circle give 2 solutions for x -->
#x = +- 60^@ + k360^@#
Note: #x = - 60^@# is co-terminal to #x = 300^@#
Answers for (0, 720):
#x = 60^@, x = 300^@; x = 420^@; x = 660^@#

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