Question

Find all real solutions.
2*sinx*cosx+4*sinx-cosx-2=0

Answer 1

we can factor:

2sin(x)(cos(x)+2)-(cos(x)+2)=0
(2sin(x)-1)(cos(x)+2)=0

Answer 2

sin(x)=1/2

Answer 3

x=Pi/6, 5*Pi/6

Answer 4

cos(x) cannot be -2 so these are your solutions on the interval [0, 2Pi)

Answer 5

ok, thanks. I didn't know where to begin. thank you for all your help.

Answer 6

you're welcome