Cos14+sin14+cos42+sin42/√2cos14*sin73?

[latex] \frac{cos14 +sin14+cos42+sin42}{ \sqrt{2}cos14*sin73 } = \frac{2cos \frac{42+14}{2}cos \frac{42-14}{2} +2sin \frac{42+14}{2} cos \frac{42-14}{2} }{ \sqrt{2}cos14*sin73 }= \frac{2cos14(cos28+sin28)}{ \sqrt{2}cos14*sin73 } = \frac{2 \sqrt{2}sin(28+45) }{ \sqrt{2}sin73 }= \frac{2sin73}{sin73} =2[/latex]