Solve: $cos(tan^{-1}x)=sin(cot^{-1}(\large\frac{3}{4}))$

Question

$(a)\; \large\frac{3}{4} \qquad(b)\; \large\frac{4}{3} \qquad(c)\; \large\frac{5}{4}\qquad(d)\; \large\frac{5}{3}$