Question

how can you prove without a caluculator sin44degrees+sin16degrees=sin76degrees

Answer 1

now sin a+ sin b = 2sin((a+b)/2) cos((a-b)/2)
thus LHS =2 sin(30) cos (14)
= cos 14
=sin (90-14)
=RHS
hence proved!! omg!! ;)

Answer 2

now put the values and get the answer.