Question

How do you solve the equation `sinx=sqrt3-sinx`?

Answer 1

`x = pi/3 + 2kpi`
`x = (2pi)/3 + 2kpi`

Explanation:

`sin x = sqrt3 - sin x`
`2sin x = sqrt3`
`sin x = sqrt3/2`
Trig table gives the solution
`x = pi/3 + 2kpi`
Unit circle gives another arc x that has the same sin value (sqrt3/2)
`x = pi - (pi/3) = (2pi)/3 + 2kpi`