Given x = 3 2 sin ⁡ (

Question

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Given

x = \frac{3}{2} \sin (θ)

, express

\tan (θ)

in terms of

x

and simplify as much as possible.

Select one:
a.

\tan (θ) = \frac{x}{\sqrt{\frac{9}{4} - x^{2}}}

\tan (θ) = \frac{x}{\sqrt{x^{2} - \frac{4}{9}}}

\tan (θ) = \frac{x}{\sqrt{\frac{9}{4} + x^{2}}}

\tan (θ) = \frac{x}{\sqrt{\frac{4}{9} - x^{2}}}

\tan (θ) = \frac{x}{\sqrt{\frac{4}{9} + x^{2}}}

\tan (θ) = \frac{x}{\sqrt{x^{2} - \frac{9}{4}}}

Given
x
=

3
2

sin
⁡
(
θ
)
, express
tan
⁡
(
θ
)
in terms of
x
and simplify as much as possible.
Select one:
a.
tan
⁡
(
θ
)
=

x

9
4

−

x

2

b.
tan
⁡
(
θ
)
=

x

x

2

−

4
9

c.
tan
⁡
(
θ
)
=

x

9
4

+

x

2

d.
tan
⁡
(
θ
)
=

x

4
9

−

x

2

e.
tan
⁡
(
θ
)
=

x

4
9

+

x

2

f.
tan
⁡
(
θ
)
=

x

x

2

−

9
4