Question

find all solutions for the fallowing equation
sinxcosx-2sinx=0

Answer 1

Factor :)
\[\huge [\sin(x)][\cos(x)-2]=0\]

Answer 2

okay you factored out the sin. now do i set the sinx and cosx-2 equal to zero?

Answer 3

Yes. But
cos(x) - 2 = 0
cos(x) = 2

...
cosine can never be equal to 2, so scratch that, your only chance is for sin(x) to be 0 :)

Answer 4

okay i understand that. but when sin equals zero does that mean the answer is \[2piK\]

Answer 5

where k is an integer?

Answer 6

Actually, just \[\large k\pi \ \ \ \ \ \ k\in \mathbb{Z}\]

Answer 7

Remember that \(\sin \pi = 0\) too.