Trigonometry

Problem:

sin(45)*cos(60)+cos(45)*sin(60)

Assuming the numbers are given in degree

Solution:

 $ \frac{\sqrt{2}}{2}\frac{1}{2} + \frac{\sqrt{2}}{2}\frac{\sqrt{3}}{2} $
=$ \frac{\sqrt{2}}{4}(1 + \sqrt{3}) $

This is also the value of $ \sin(105) $