Solve for 0

Solve for 0??<2?: sin 2?+sin 5?=0. Separate your answers with commas.

?=

Solution

Use formula : sinx +siny = 2sin(x+y)/2cos(x-y)/2

So, sin 2+sin 5=0.

2sin(7)/2cos(3/2) =0

sin(7)/2 =0

= 0, 2pi/7 , 4pi/7, 6pi/7 , 8pi/7 , 10pi/7 , 12pi/7 ,

cos(3)/2 =0

= pi/3 , pi , 5pi/3