cosø+ cos (120+ø)+cos(120-ø)=
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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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