Question

cos pi/3+sin 3pi/4=...

Answer 1

$cos \frac{ \pi }{3} +sin \frac{3 \pi }{4} =cos \frac{ \pi }{3} +sin( \pi - \frac{ \pi }{4})=cos \frac{ \pi }{3} +sin \frac{ \pi }{4}= \frac{1}{2}+ \frac{ \sqrt{2} }{2} = \frac{1+ \sqrt{2} }{2}$

Answer 2

$cos \frac{ \pi }{3} +sin \frac{3 \pi }{4} = \frac{1}{2} + \frac{ \sqrt{2} }{2} = \frac{ 1+\sqrt{2} }{2}$