anonymous 3 years ago PreCalc & Trig, picture below, please show your work.. Really frustrated with this homework. :/

1. anonymous

2. anonymous

use sinx=2sin(x/2)cos(x/2) then factorize

3. anonymous

Maybe I should tell you this: I haven't been in class for over a week. I don't know any of this stuff.. so be as simple and thorough as you can, thanks.

4. anonymous

$\cos(\frac{ x }{ 2 })-sinx=0$ use the identity sin2x=2sinxcosx $\cos(x/2)-2\sin(x/2)\cos(x/2)=0$ $\cos(x/2)(1-\sin(x/2))=0$ cos(x/2)=0 or 1-sin(x/2)=0 $\cos(x/2)=0 => x/2=\pi/2$ $x=\pi$ $1-\sin(\frac{ x }{ 2 })=0$

5. anonymous

$\sin(\frac{ x }{ 2 })=1 => \frac{ x }{ 2 }=\pi/2$ $x=\pi$

6. anonymous

the solution is $\pi$

7. anonymous

okay, thank you.