Question

Sin600 cos30+cos120 sin150=k

Answer 1

Answer:

to evaluate sin 600 cos 30 + cos 120 sin 159

sin 600 = sin (630 - 30 = - cos 30 = -√3/2

cos 30 = √3/2

cos 120 = cos (90 + 30) = - sin 30 = -1/2

sin 150 = sin (180 - 30) = sin 30 = 1/2

by substituting these values, we get

(-√3/2)(√3/2) + (-1/2)(1/2)

=> - 3/4 - 1/4

=> - 1