Possible solutions as exact values for #cos theta=1/sqrt(2) # ?

1 Answer
Nghi N.
Jun 13, 2018

#t = pi/4 + 2kpi#
#t = (7pi)/4 + 2kpi#

Explanation:

#cos t = 1/sqrt2 = sqrt2/2#
Trig table and unit circle give 2 solutions for t:
#t = +- pi/4 + 2kpi#
Note.
#t = - pi/4# is co-terminal to #t = (7pi)/4#
Answers:
#t = pi/4 + 2kpi#
#t = (7pi)/4 + 2kpi#

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