If $cosec A+\cot A=\large\frac{11}{2}$ then $\tan A$ is

Question

$(a)\;\large\frac{21}{22}\qquad$$(b)\;\large\frac{15}{16}$$\qquad(c)\;\large\frac{44}{117}$$\qquad(d)\;\large\frac{117}{43}$