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If sintheta=-1/2 and tantheta=1/sqrt(3) ...

If `sintheta=-1/2` and `tantheta=1/sqrt(3)` then `theta` is equal to,

A

`30^(@)`

B

`150^(@)`

C

`210^(@)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Let us first find out `theta` lying between 0 and `360^(@)`.
Since `sintheta=-1/2 rArr theta=210^(@)` or `330^(@)` and `tantheta=1/sqrt(3) rArr theta=30^(@)` or `210^(@)`
Hence, `theta=210^(@)` or `(7pi)/6` is the value satisfying both.
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