Solve #(sqrt(3)/cos(2A))-(1/sin(2A))=4# ?

1 Answer
Oct 20, 2017

See the answer below...

Explanation:

#sqrt3/(cos2A)-1/(sin2A)=4#
#=>sqrt3 cdot sin2A-cos2A=4 cdot sin2A cdot cos2A#
#=>sqrt3/2 cdot sin2A-1/2cos2A=2 cdot sin2A cdot cos2A#
#=>sin2A cdot cos30^@-cos2A cdot sin30^@=sin4A#
#=>sin(2A-30^@)=sin4A#
#=>2A-30^@=4A#
#=>2A=-30^@#
#=>A=-15^@#

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