Question

Find the answer as soon as possible

Answer 1

$\sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ \tan( \alpha ) = (1 \div \sqrt{3} ) \\ \alpha = 30 {}^{0} \\ value \: of \\ (3 { \cos}^{2} \alpha + 2 \cos( \alpha ) ) \div (3 \cos( \alpha ) + 2) \\ = (1 + (2 \div \sqrt{3} )) \div ( \sqrt{3} + 2) \\ ( \sqrt{3} ) \div ( \sqrt{3} + 2)$