Question

if x=Pi/6.
whats 4-2/3 sin (3x-Pi)?
I need exact values pls.

Answer 1

I got:

\[10/3\sin (3\pi/6-\pi)\]

Answer 2

But i need help continuing solving it until i get an exact value as a fraction

Answer 3

Please help

Answer 4

\[4-\frac{ 2 }{ 3 }\sin(3x-\pi)=4-\frac{ 2 }{ 3 }\sin(3{\times}\pi/6-\pi)\]\[4-\frac{ 2 }{ 3 }\sin(\pi/2-\pi)=4-\frac{ 2 }{ 3 }\sin(-\pi/2)\]\[4+\frac{ 2 }{ 3 }\sin(\pi/2)\]\[4+\frac{ 2 }{ 3 }\]\[\frac{ 14 }{ 3 }\]

Answer 5

THANK YOU VERY MCUH! you just saved my life. I have a test on trig tomorrow. The way you explained it is very throughly. thanks again