Вычислите sin^2(1,5+32п) +cos^2 1,5+cos(-п/4)+sin(-п/6)

Question

Вычислите sin^2(1,5+32п) +cos^2 1,5+cos(-п/4)+sin(-п/6)

Answer 1

Sin²(1,5+32π)+cos²1/5+cos(-π/4)+sin(-π/6)=
=(sin²1,5+cos²1,5)+√2/2 - 1/2= 1+ √2/2 - 1/2 = 1/2 +√2/2 = (1+√2)/2