Question

Verify the following:

sin 60° cos 30° – cos 60° sin 30° = sin 30°

Answer 1

`sin 60^0 cos 30^0-cos 60^0 sin 30^0`

=`(sqrt(3)/2)xx(sqrt(3)/2) -(1/2)xx(1/2) = 3/4-1/4=2/4=1/2`

Also, `sin 30^0 =1/2`

∴ `sin 60^0 cos 30^0-cos 60^0 sin 30^0= sin 30^0`