Question

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

Answer 1

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