If sintheta=sqrt(3)costheta,-piltthetalt...

If `sintheta=sqrt(3)costheta,-piltthetalt0`, then `theta` is equal to

A

`-(5pi)/(6)`

B

`-(4pi)/(6)`

C

`(4pi)/(6)`

D

`(5pi)/(6)`

Verified by Experts

The correct Answer is:

B

Given that ,`tantheta=sqrt(3)"tan"(pi)/(3)rArrtheta=npi+(pi)/(3)"For"-piltthetalt0`, put n=- 1,we gat
`theta=-pi+(pi)/(3)=(-2pi)/(3)or(-4pi)/(6)`

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