Ff $\arcsin x + \arcsin z + \arcsin z = 1.5\pi$, Prove that $x^{2006}+y^{2007}+z^{2008}-\frac 9{x^{2006}+y^{2007}+z^{2008}}=0$.
2026-03-28 22:53:35.1774738415
a Proof onInverse Trigonometry
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Hint: $$\arcsin x\le \frac {\pi}{2}$$ If $\arcsin x + \arcsin y + \arcsin z = 1.5\pi$ then $$\arcsin x = \arcsin y = \arcsin z = \frac{\pi}2$$ Then $$x=y=z=1$$