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

If `sin theta=-(1)/(2)` and ` tan theta=(1)/sqrt(3)` then `theta` is e

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
Answer» Correct Answer - 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.