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If sintheta(1)+sintheta(2)+sintheta(3)+...

If `sintheta_(1)+sintheta_(2)+sintheta_(3)+sintheta_(4)=4`, then what is the value of `costheta_(1)+costheta_(2)+costheta_(3)+costheta_(4)=`?

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
`sintheta_(1)+sintheta_(2)+sintheta_(3)+sintheta_(4)=4` . . . (1)
Since max . Value of `sintheta=1`
We have four terms in LHS of eq . (1) .
`rArr` Every term should be = 1
`rArrsintheta_(1)=sintheta_(2)=sintheta_(3)=sintheta_(4)=1`
`rArrtheta_(1)=theta_(2)=theta_(3)=theta_(4)=90^(@)`
Now ,
`costheta_(1)+costheta_(2)+costheta_(3)+costheta_(4)=(cos90^(@))xx4=0`.
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