Show that Cos40° + Cos 80° + Cos 160º = 0
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Answer:
cos a +cos b= 2cos{(a+b)/2}*cos{(a-b)/2}
a=40, b=80;
2cos{(40+80)/2}*cos{(40-80)/2}+cos 160
2cos(120/2)cos(-40/2)+cos160
2cos60cos(-20)+cos(180-20)
2*(1/2)cos20-cos20
cos20-cos20
=0;
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