如何在0到2pi的间隔内解决cos2x = [sqrt(2)/ 2]?

如何在0到2pi的间隔内解决cos2x = [sqrt(2)/ 2]?
Anonim

回答:

#S = {pi / 8,(7pi)/ 8,(9pi)/ 8,(15pi)/ 8}#

说明:

#2x = cos ^ -1(sqrt 2/2)#

#2x = + - pi / 4 + 2pin#

#x = + - pi / 8 + pi n#

#n = 0,x = pi / 8,-pi / 8#

#n = 1,x =(9pi)/ 8,(7pi)/ 8#

#n = 2,x =(17pi)/ 8,(15pi)/ 8#

#S = {pi / 8,(7pi)/ 8,(9pi)/ 8,(15pi)/ 8}#