$$2 ( \cos 30 ^ { \circ } ) ^ { 2 } = ( \tan 60 ^ { \circ } ) ^ { 2 } ?$$
$\text{false}$
$$2\times \left(\frac{\sqrt{3}}{2}\right)^{2}=\left(\tan(60)\right)^{2}$$
$$2\times \frac{\left(\sqrt{3}\right)^{2}}{2^{2}}=\left(\tan(60)\right)^{2}$$
$$\frac{2\left(\sqrt{3}\right)^{2}}{2^{2}}=\left(\tan(60)\right)^{2}$$
$$\frac{\left(\sqrt{3}\right)^{2}}{2}=\left(\tan(60)\right)^{2}$$
$$\frac{\left(\sqrt{3}\right)^{2}}{2}=\left(\sqrt{3}\right)^{2}$$
$$\frac{\left(\sqrt{3}\right)^{2}}{2}=3$$
$$\frac{3}{2}=3$$
$$\frac{3}{2}=\frac{6}{2}$$
$$\text{false}$$
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