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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