# Math Help - Help with solving trigometric equations?

1. ## Help with solving trigometric equations?

I don't understand how to do these problems very well..
I'll type out what i did so far if i tried..
15sin^2x-26sinx+8=0
sinx(15sinx-26)+8=0

16sin^3x-12sin^2x+26sinx-27=0
4sin(4sin^2x-3sinx)+9(4sinx-3)=0

(root2 sinx+1)(3tan3x-root3)=0

sin 3x=-root2/2
for this one, i don't know what to do with the 3x. I heard that there is supposed to b 6 answers when the multiple of the angle is 3, but how do i find this?

If I have more trigometric equations problems, should I update this thread, or just start a new one?

2. $15sin^{2}X - 26sinX + 8 = 0$

this factors into

$\left(3sinX - 4\right)\left(5sinX - 2\right) = 0$

can you solve from here??