Question

Verify that sin 30×cos 60 + cos 30 × sin 60 = cos 0

Answer 1

Answer:

Hey mate please refer to the attachment

Answer 2

Proof:

We know that,

sin30° = 1/2

cos60° = 1/2

cos30° = √3/2

sin60° = √3/2

cos0° = 1

∴ L.H.S. = sin30° cos60° + cos30° sin60°

= (1/2 * 1/2) + (√3/2 * √3/2)

= 1/4 + 3/4

= (1 + 3)/4

= 4/4

= 1

= cos0° = R.H.S.

Hence, proved.