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The value of cos52^@+cos68^@+cos172^@ is...

The value of `cos52^@+cos68^@+cos172^@` is

A

0

B

1

C

2

D

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`cos52^(@)+cos68^(@)+cos172^(@)`
`=(cos52^(@)+cos172^(@))+cos68^(@)`
`=2cos112^(@)cos60^(@)+cos68^(@)`
`=cos112^(@)+cos68^(@)`
`=2cos(90^(@))cos22^(@)=0`
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