Question

sin30°cos60°+cos30°sin60°=sin90°​

Answer 1

Hey Mate!!!

We already know that,

Sin(x + y) = SinxCosy + CosxSiny

just like that,

Sin30°cos60° + cos30°sin60° = sin90°

sin(30° + 60°) = sin90°

Sin90° = Sin90°

Hence proved☺

Answer 2

as,
sin30° = 1/2
cos60° = 1/2
sin60° = √3/2
cos30° = √3/2
.
.
now,
sin30° cos60° + cos30° sin60°
1/2 * 1/2 + √3/2 * √3/2
1/4 + 3/4
(1+3)/4
4/4
1. -{1}
.
.
as, sin90° = 1 -{2}
so, by equation 1. and 2.
sin30°cos60° + cos30°sin60° = sin90°..
.
.
Hence proved