Question

Sin 30° cos 60°+ cos 30° sin 60°

Answer 1

Answer:

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☺

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$\scriptsize{Sin 30° cos 60°+ cos 30° sin 60°}$

$\frac{1}{2} \times \frac{1}{2} + \frac{ \sqrt{ 3} }{2} \times \frac{ \sqrt{3} }{2}$

$\frac{1}{4} + \frac{ \sqrt{9} }{4}$

$\frac{1}{4} + \frac{3}{4}$

$\frac{1 + 3}{4}$

$\frac{ \cancel4}{\cancel4}$

$1$

I hope it is helpful