tanθ = 34\frac{3}{4}43 → tanθ = 0.75
θ = tan−1^{-1}−1[0.75] → 36.8698°
cosθ = cos[36.8698°]
→ 0.800 or 45\frac{4}{5}54
However; in the third quadrant Cosine is negative
i.e -45\frac{4}{5}54