If sin⁡θ=12 and cos⁡θ=−32,  then the general value of θ is (n∈Z)

sin⁡θ=1/2 and cos⁡θ=−3/2⇒ θ lies in the second quadrant. ⇒ sin⁡θ=sin⁡5π/6;cos⁡θ=cos⁡5π/6;∴ θ=2nπ+(5π/6),n∈Z