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خطا

$\frac{\operatorname{Sin}{{\theta }_{i}}}{\operatorname{Sin}{{\theta }_{r}}}=\frac{{{n}_{2}}}{{{n}_{1}}}\Rightarrow \frac{\operatorname{Sin}2{{\theta }_{r}}}{\operatorname{Sin}{{\theta }_{r}}}=\frac{1/6}{1}\Rightarrow \frac{2\operatorname{Sin}{{\theta }_{r}}\operatorname{Cos}{{\theta }_{r}}}{\operatorname{Sin}{{\theta }_{r}}}=1/6$ $\Rightarrow \operatorname{Cos}{{\theta }_{r}}=0/8\Rightarrow {{\theta }_{r}}={{37}^{{}^\circ }}\Rightarrow {{\theta }_{i}}=2{{\theta }_{r}}={{74}^{{}^\circ }}$