Question

Resolva a equação em R

Answer 1

Boa tarde

sen(x + π/4) + cos(x + π/4) = √2/2

sen(x + π/4) = √2*sen(x)/2 + √2*cos(x)/2
cos(x + π/4) =  √2*cos(x)/2 - √2*sen(x)/2

sen(x + π/4)  + cos(x + π/4)  = √2*cos(x)

√2*cos(x) = √2/2

cos(x) = 1/2

x1 = π/3 + 2kπ
x2 = 5π/3 + 2kπ