Cos 48+ Cos 80 + Cos 160°
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Step-by-step explanation:
cos40 + cos80 + cos120 = 2cos(80+40 / 2).cos(80-40 / 2) + cos(160)
= 2cos(180/2).cos(40/2) + cos(160)
= 2cos(60).cos(20) +cos(160)
= 2(1/2). cos(20) + cos(160) [Since cos(60) = 1/2]
= cos(20) + cos(160)
= 2cos(160+20/2).cos(160-20/2)
= 2cos(90).cos(70)
= 0 [Since cos(90) = 0]
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