Given the curve defined by the equation y=cos^2(x) + sqrt(2)* sin(x) with domain (0,pi) , find all points on the curve where the tangent line to the curve is horizontal

Answer 1

hint:
solve for dy/dx=0 on the interval [0,π].
y=cos^2(x) + sqrt(2)* sin(x)
dy/dx=-2cos(x)sin(x)+(√2)cos(x) = 0