Posted by **MM** on Sunday, November 25, 2012 at 5:01am.

Find the maximum or minimum values of sin x+sin y+sin(x+y)

- Mathematics -
**Steve**, Sunday, November 25, 2012 at 2:42pm
z = sinx + siny + sin(x+y)

to find the maxima, we need

∂z/∂x = 0 and ∂z/∂y = 0

∂z/∂x = cosx + cos(x+y)

∂z/∂y = cosy + cos(x+y)

∂z/dx = 0 when x+y = pi-x

A handy place for this is at (pi/3,pi/3)

z(pi/3,pi/3) = √3/2 + √3/2 + √3/2 = 3√3/2 = 2.598

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