Question

Sa se arate ca $\frac{ \sqrt{6}sin135 }{cos150}$ ∈ Z.
sin135grade si cos150grade

Answer 1

$\frac{ \sqrt{6}sin135 }{cos150} = \frac{ \sqrt{6} * \frac{1}{ \sqrt{2} } }{- \frac{ \sqrt{3} }{2} } = \frac{ \frac{ \sqrt{6} }{ \sqrt{2} } }{- \frac{ \sqrt{3} }{2} } = \frac{ \sqrt{3} }{- \frac{ \sqrt{3} }{2} } =-2$