Question

use the exact value of sin(75) to find sin (105) by using sin(180-75)

Answer 1

\[\sin(75)=\sin(45+30)=\sin45\cos30+\sin30\cos45=\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}\]
So,
\[\sin(105)=\sin(180-75)=\sin180\cos75-\sin75\cos180=\sin75=\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}\]

Answer 2

THANK YOU SOOOOOOOO MUCH... you were a lot of help..

Answer 3

You're welcome ;)