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What is the following function in parametric form?

$$r=\tan { \theta +\cfrac { 1 }{ 4 } } $$

A

$x=\tan { \theta +\cfrac { 1 }{ 4 } \cos\theta } \quad \& \quad y=\cfrac { { \sin }^{ 2 }\theta }{ \cos\theta } $

B

$x=\cos { \theta +\cfrac { 1 }{ 4 } \tan\theta } \quad \&\quad y={ \tan }^{ 2 }\theta +\cfrac { 1 }{ 4 } \sin\theta$

C

$x=\sin { \theta +\cfrac { 1 }{ 4 } tan\theta } \quad \& \quad y=\cfrac { 1 }{ 4 } \sin\theta $

D

$x=\sin { \theta +\cfrac { 1 }{ 4 } \cos\theta } \quad \& \quad y=\cfrac { { \sin }^{ 2 }\theta }{ \cos\theta } +\cfrac { 1 }{ 4 } \sin\theta $

E

$x=\sin { \theta + \cos\theta } \quad \quad \& \quad y=\tan\theta +\cfrac { 1 }{ 4 } \sin\theta $

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