Question

Verify the following equalities:

sin² 60° + cos² 60° = 1

Answer 1

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

L.H.S = sin² 60° + cos² 60°

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

= `3/4 + 1/4`

= `4/4`

= 1

L.H.S = R.H.S

Hence it is proved.