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If sin theta=-(1)/(2) and tan theta=(1)...

If `sin theta=-(1)/(2)` and ` tan theta=(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 out `theta` lying between 0 to `360^(@)`
Since `sin theta=-(1)/(2)rArrtheta=210 ^(@)` or `330^(@)` and `tan theta=(1)/sqrt(3)rArr0=30^(@)` or `210^(@)`
Hence, `theta=210^(@)` or `(7pi)/(6)` is the value satisfying both.
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