sin 60° cos 30° + cos 60° sin 30°

Since sin 60° = √3/2 = cos 30°

and sin 30° = 1/2 = cos 60°


sin 60° cos 30° + cos 60° sin 30° = (√3/2)( √3/2) + (1/2)(1/2)


= (3/4) + (1/4)


= 4/4


= 1


1