Question

if sin theta + sin phi =√3 (cos phi - cos theta)

Answer 1

I hope you will be able to understand

Answer 2

Answer:$\theta - \phi = 120$

Explanation:  $Sin \theta + Sin \phi = \sqrt3 (cos \phi - cos \theta)$

                     $2Sin(\frac { \theta +\phi }{ 2 } )Cos(\frac { \theta -\phi }{ 2 } )\quad =\sqrt { 3 } \times \quad 2Sin(\frac { \theta +\phi}{ 2 } )\quad \times \quad Sin(\frac { \theta -\phi}{ 2 } )$$2\quad Cos(\frac { \theta -\phi}{ 2 } )\quad =\quad \sqrt { 3 } \quad \times \quad 2\quad \times \quad Sin(\frac { \theta -\phi  }{ 2 } )\\\frac{1}{\sqrt3} = tan \frac{\theta - \phi}{2}\\\frac{\theta - \phi}{2} = 60\\\theta - \phi = 120$