Question

cos(2П-x)+sin(П/2+x)=$\sqrt{2}$

Answer 1

$cos( 2 \pi -x)+sin( \frac{ \pi }{2} +x)= \sqrt{2} \\cosx+cosx= \sqrt{2} \\ 2cosx= \sqrt{2} \\cosx= \frac{ \sqrt{2} }{2} \\x=+- \frac{ \pi }{4} +2 \pi n$
n ∈ Z