Need help simplifying expression

quantum_enhan
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The Attempt at a Solution



I'm attempting to solve a question with a few unknowns, and I managed to get it to the following form:

tanx(1-cosx)=0.25


I just can't seem to simplify it further and thus solve.. Any ideas?
 
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It is more helpful if you post the entire original question and your work so far; otherwise we can't tell whether you've made a mistake in the work leading up to this point, or indeed whether you're expected to find an exact or merely approximate solution.
 
Ok.
Find theta.
2sintheta(75)(x-1.2)=45, where x=1.2costheta
 
sorry, x=1.2/costheta
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...

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