Using Double Angle Identities to Solve Equations, Example 2

[double_uoglobe]

Thanks for being better than my online class teacher during the era of remote learning.

[joelhaire]

Referring to the unit circle, to find the solutions with in the range of 2pi, did you just keep going up in divisions of 3, for example pi/3, 5pi/3, 7pi, 3, 11pi/3, knowing that 7 and 11pi / 3 aren't solutions. Correct?. 

[xLiiNax]

I dont understand where 5pi/3 is coming from

[djalecam]

Patrick pls response all the comments cuz there are thing that we don't understand ! such as where 5pi/3 come's from ?

[mrmysterious]

can you divide sint by both sides to get 2cost=1

[amarkbars]

can you help me to prove this

sin3x-sinx divided by cosx+ cos3x is equal to tan x....
can you make it Sir

[areebr]

why do we lose solutions by dividing both sides by sint?

[eveilslayer]

wouldnt cos(t)=1/2 be a 30deg angle, makeing the solutions pi/6 and 5pi/6?

[bkcasey]

my teacher doesn't allow us to even touch the other side of the equation..