Question

Maximum value of sin^(120°+x)+sin^(120°-x)

Answer 1

sin(120+x) + sin(120+x)
= 2sin(120)cos(x)
= 2 * (√3/2) * cos(x)
= √3 cos(x)

Since cos(x) has maximum value +1,
√3 cos(x) has maximum value of +√3

Hence, sin(120+x) + sin(120+x) has maximum value = +√3