Sin(A)*cos(A)=1/4 Найти sin(A) + cos(A)

Question

Sin(A)*cos(A)=1/4
Найти sin(A) + cos(A)

Answer 1

SinA*cosA=1/4⇒2sinacosa=1/2
(sinA+cosA)²=sin²A+2sinAcosA+cos²A=1+2sinAcosA=1+1/2=3/2
sinA+cosA=√(3/2)=√6/2