Question

Shows that sin(x-150°) + sin (x+30°) = 0

Answer 1

sin( x +30) = sin (x + 180-150) = - sin (x- 150)
so sin(x-150) + sin(x+30 )=sin(x-150 ) - sin(x-150 )
=0

since sin( 180-x)= - sinx

Answer 2

Hey mate here is ur answer ******
__________________

sin(x-150°)+sin(x+30°)

=2 sin(x-150°+x+30°)/2 cos(x-150°-x-30°)/2

=2 sin (x-60°) cos90°

=0[Proved]

Hope it will help u@@@@####