The locus of the variable point $z=x+iy$ whose amplitude is always equal to $\theta$,is
- A$x^2+y^2=\tan^2 \theta$
- B$y=x \tan \theta$
- C$\frac{x^2}{\sin^2 \theta}+\frac{y^2}{\cos^2 \theta}=1$
- D$\frac{x^2}{\sin^2 \theta}-\frac{y^2}{\cos^2 \theta}=1$
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