Given x =32sin⁡(θ), express tan⁡(θ)interms of x and simplify as much a

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Given x =32sin⁡(θ), express tan⁡(θ)interms of x and simplify as much as possible. Select one: a. tan⁡(θ) = x94−x2b. tan⁡(θ) = x x2−49 c. tan⁡(θ) = x94+x2d. tan⁡(θ) = x49−x2e. tan⁡(θ) = x49+x2f. tan⁡(θ) = x x2−94

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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}}}

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