Question

how to factor 6cos(x)sin(x) - 2cos(x)=0

Answer 1

factor out cos x

Answer 2

or better yet, 2 cosx. It will be (2cosx)(3sinx-1)=0

Answer 3

Yes, that's what I got. Now, how do you set each factor to zero??

Answer 4

2 cos(x)=0 and 3sin(x)-1=0 ?

Answer 5

@tfarand for the first part. 2cosx=0
divide both sides by 2, so cosx=0/2
but 0/2 is just 0
so x=cos^-1(0)= 90 degrees (pi/) or 270 degrees (3pi/2)
On the other hand, 3sinx-1=0
transpose -1. it will be 3sinx=1
divide both sides by 3
sinx=1/3
x=sin^-1(1/3)
x= ?

Answer 6

That's exactly what I got, but there aren't any solutions with sinx=1/3

Answer 7

i guess you must use your calculator. :)

Answer 8

Thank you for your help :)

Answer 9

:)