Question

이
0
Find the
value
(sin 30°+ tan 45-cosec 60°) /
(sec 30° + cos 60° +cot 45°)
​

Answer 1

$\frac{ \sin(30) + \tan(45) - \csc(60) }{ \sec(30) + \cos(60) + \cot(45) } \\ \\ = \frac{ \frac{1}{2} + 1 - \frac{2}{ \sqrt{3} } }{ \frac{2}{ \sqrt{3} } + \frac{1}{2} + 1 } \\ \\ = (\frac{3 \sqrt{3} - 2 }{2 \sqrt{3} } ) \div ( \frac{3 \sqrt{3} + 2 }{2 \sqrt{3} } ) \\ \\ = \frac{3 \sqrt{3} - 2 }{3 \sqrt{3} + 2}$