Math, asked by yedukondaluregion, 10 months ago

cosø+ cos (120+ø)+cos(120-ø)=​

Answers

Answered by saniya12390
3

Answer:

cos x + cos(120-x) + cos (120+x) = 0

L.H.S

cos x+ 2 cos (120-x +120 + x)/2.cos (120- x

-120-x)

[ cos C + cos D = 2 cos (C+D)/2.cos(C-D)/2]

= cos x + 2 cos 120 .cos(-x). [cos120= -1/2]

[cos (-x) = cos x ]

= cos x + 2×-1/2.cosx

= cos x - cos x

= 0

R.H.S

Proved

Step-by-step explanation:

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