Trig

Level 2

If s i n A sin A ( 2 s i n A 2-sin A ) + + s i n B sin B ( 2 s i n B 2-sin B ) + + s i n C sin C ( 2 s i n C 2-sin C ) = 3 = 3 , where A , B , C A,B,C are in degrees, then the value of ( A + B + C A+B+C ) is

210 45 90 270 180

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1 solution

Spandan Senapati
Nov 12, 2017

( S i n A 1 ) 2 + ( S i n B 1 ) 2 + ( S i n C 1 ) 2 = 0 (SinA-1)^2+(SinB-1)^2+(SinC-1)^2=0 ,Thus each value is 1 1

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