Question

Verify the following equalities:

sin 30° cos 60° + cos 30° sin 60° = sin 90°

Answer 1

sin 30° = `1/2`, cos 60° = `1/2`, cos 30° = `sqrt(3)/2`, sin 60° = `sqrt(3)/2`, sin 90° = 1

L.H.S = sin 30° cos 60° + cos 30° sin 60°

= `1/2 xx 1/2 + sqrt(3)/2 xx sqrt(3)/2`

= `1/4 + 3/4`

= `4/4`

= 1

R.H.S = sin 90° = 1

L.H.S = R.H.S

Hence it is proved.