The equation to the straight line passing through the point $\left({\mathrm{acos}}^3\mathrm{\theta },{\mathrm{asin}}^3\mathrm{\theta }\right)$ and perpendicular to the line $\mathrm{xsec\theta }+\mathrm{ycosec\theta }=\mathrm{a}$ 

• A

  $\mathrm{xcos\theta }-\mathrm{ysin\theta }=\mathrm{acos}2\mathrm{\theta }$

• B

  $\mathrm{xcos\theta }+\mathrm{ysin\theta }=\mathrm{acos}2\mathrm{\theta }$

• C

  $\mathrm{xsin\theta }+\mathrm{ycos\theta }=\mathrm{acos}2\mathrm{\theta }$

• D

  none of these