The correct option is B
Here, the angle θ lies in the third quadrant. Thus, both sine and cosine of the angle will be negative.
Now, tan θ=√3Now, we know the identitysec2θ=1+tan2θ⇒sec2θ=1+3⇒sec2θ=4⇒sec θ=±2But, since θ lies in third quadrantsec θ=−2⇒cos θ=−12and sin θ=−√32thus, sin θ+cos θ=−1−√32
Thus, Option d. is correct.