# Evaluate the following: 2 tan2 45° cos230° sin260°.

Solution:

$2tan^{2}45^{\circ}+cos^{2}30^{\circ}-Sin^{2}60^{\circ}$

Rewriting the above equation, we get:

$2(tan45^{2}+cos30^{2}-Sin60^{2})$

Simplifying further, we get

$2(1)+(\frac{\sqrt{3}}{2})^2-(\frac{\sqrt{3}}{2})^2=2$