Math, asked by navadeepsaidammalapa, 7 months ago

Cos 48+ Cos 80 + Cos 160°​

Answers

Answered by Anonymous
2

Answer:

Hope it helps you.....(✿◕‿◕✿)

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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