If $f(\theta)=(\sin\theta+cosec\theta)^2+(\cos\theta+\sec\theta)^2$ then minimum value of $f(\theta)$ is

Question

$(a)\;\big[\large\frac{3}{2}$$,2\big]\qquad(b)\;\big[1,\large\frac{3}{2}\big]$$\qquad(c)\;[1,2]\qquad(d)\;None\;of\;these$