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cos 1^(@) + cos2^(@) + cos 3^(@) + ….+co...

` cos 1^(@) + cos2^(@) + cos 3^(@) + ….+cos 180^(@)` is equal to

A

1

B

0

C

2

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
`cos 1^(@) + cos 2^(@) + cos 3^(@) + ….+cos 89^(@) + cos 90^(@) + cos 91^(@) + cos 92^(@) +……+cos 179^(@) + cos 180^(@)`
` cos 1^(@) + cos 2^(@) +…..+cos 89^(@) +0+ cos (180^(@) - 89^(@)) + cos (180^(@) - 88^(@) + 0 + cos (180^(@) - 89^(@)) + cos (180^(@) - 88^(@))+ ....+ cos(180^(@) -1^(@)) -1`
` = cos 1^(@) + cos2^(@) +cos 3^(@) + .....+ cos 89^(@) - cos 89^(@) - cos 88^(@) -...- cos 1^(@) -1 =-1`
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