Question

решите тригонометрическое уравнение.
cos (2x-1)=-√2/2

Answer 1

cos(2x-1)=-√2/2

cos(2π-(2x-1))=-√2/2

cos(2π-2x+1)=-√2/2

2x-1=3π/4

2π-2x+1=3π/4

$x=left { {{frac{3pi }{8} + frac{1}{2} = kpi    } atop {frac{5pi }{8} }+frac{1}{2}+kpi  } right.$