Trigonometry Question (General Solutions) (1 Viewer)

[namelyanonymous]

Are these three general solutions the same answer?

1) 2n*pi + pi/3
2) 2n*pi +/- pi/3
3) 2n*pi - pi/3

I know 2 contains both 1 and 3, but does 1 contain 3 and so on?

 

[HeroicPandas]

1≠3

try it by subbing in values of n (integers)

 

[braintic]

Are these three general solutions the same answer?

1) 2n*pi + pi/3
2) 2n*pi +/- pi/3
3) 2n*pi - pi/3

I know 2 contains both 1 and 3, but does 1 contain 3 and so on?

The only way they would be the same would be if the angle was pi instead of pi/3.

 

[namelyanonymous]

Thanks for the replies. I tried subbing in random integers and it didn't seem to work out, but I just wanted to double check as, in the harder 3 unit part of 4 unit, i kept getting answers without the +/- in there before things like pi/3 or pi/10 (which were in the answers) unless I changed the sine functions to cosine function. So I guess I'll just have to stick to doing that to get the full solution. Thanks again!