@AZ #14
i factored it out to \[(2cosx+1)(cosx-1)\] so cosx = -1/2 cosx=1 Which is 2pi/3 and also 0
so then that's \[\frac{ 2\pi }{ 3 } + 2\pi k\] and just 2pi k
How did you factor it to that? Think of cos(x) as `a` 2a^2 - a = 1 how do you factor 'a' out ?
i actually put the 1 to the left, and then factored it
oh hmmm
Maybe that's how you're supposed to actually do it ;b okay let me see
lolll, kk
so, yeah you were correct in factoring it. That was my mistake So you should be getting multiple solutions cos(x) = -1/2 you correctly got x = 2pi/3 + 2pi*k as a solution but there's one more think about your unit circle, there's going to be two values where cos(x) can be -1/2 cos(x) = 1 and x = 2pi*k is correct for this
|dw:1617826706248:dw|
7pi/6
nope, that's when sin is -1/2
The unit circle lists (cos, sin)
4pi/3 oopssss
So that's the third solution + 2pi*k
thanksssssssss xdxd
you're welcome
Join our real-time social learning platform and learn together with your friends!