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How can I solve: $(\frac{x}{16})^{\frac{1}{3}} = \sin(t)$ for t?

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$t=\arcsin\big(\frac{x}{16}\big)^{\frac{1}{3}}$

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    @Potatoswatter Here is the primary question: http://math.stackexchange.com/questions/110961/solving-parametric-equation-multiple-coefficients-of-trigonomic-functions2012-02-19