Question

разложить на множетели

cos11π/12+cos3π/4=?

Answer 1

cos11π/12+cos3π/4= 2 cos ((11π/12 + 3π/4)/2)*cos ((11π/12 - 3π/4)/2) = 2cos (5π/6)*cos (π/12) = 2cos 150⁰ cos 15⁰ = 2cos (180⁰ - 30⁰) cos 15⁰ = -2cos 30⁰ cos 15⁰ = -2*√3/2*cos 15⁰ = -√3cos 15⁰