$$2\ \tan^{v}45^{\circ}+\cos^{\circ}60^{\circ}-Sin^{\prime}30^{\circ}$$
$2$
$$2\times 1^{2}+\left(\cos(60)\right)^{2}-\left(\sin(30)\right)^{2}$$
$$2\times 1+\left(\cos(60)\right)^{2}-\left(\sin(30)\right)^{2}$$
$$2+\left(\cos(60)\right)^{2}-\left(\sin(30)\right)^{2}$$
$$2+\left(\frac{1}{2}\right)^{2}-\left(\sin(30)\right)^{2}$$
$$2+\frac{1}{4}-\left(\sin(30)\right)^{2}$$
$$\frac{9}{4}-\left(\sin(30)\right)^{2}$$
$$\frac{9}{4}-\left(\frac{1}{2}\right)^{2}$$
$$\frac{9}{4}-\frac{1}{4}$$
$$2$$
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