Question

Find the value of following.

sin 30 . cos 45 + sin 45 . cos 30​

Answer 1

Annyeonghaseyo!! Please refer to the attachment

Amii (◕ᴥ◕)

Answer 2

By Using,

$\sin( \alpha + \beta ) = \sin( \alpha ) \cos( \beta ) + \sin( \beta ) \cos( \alpha )$

We obtain,

$\sin(30 \degree) \cos(45 \degree) + \sin(45 \degree) \cos(30 \degree) = \sin(30 \degree + 45 \degree)$

$= \sin(75 \degree)$