Question #8c20e

1 Answer
Narad T.
Jan 15, 2018

The solutions are #S={251^@, 330^@}#

Explanation:

#(2-sqrt3secx)(secx+3)=0#

Therefore,

#2-sqrt3secx=0# and #secx+3=0#

#sqrt3secx=2# and #secx=-3#

#cosx=sqrt3/2 # and #cosx=-1/3#

#x=arccos(sqrt3/2)# and #x=arccos(-1/3)#

#x=330^@# and #x=251^@# for #x in [180^@, 360^@]#

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