Question

How do I add or subtract radians? For example: pi/3 - pi/6 ??

Answer 1

The same way you add/subtract any pair of fractions. You need to make sure the denominators are equal. Once they are equal, you can add/subtract the numerators and place the result over the common denominator


Ex:


pi/3 - pi/6


(pi/3)*(2/2) - pi/6


2pi/6 - pi/6


(2pi - pi)/6


pi/6


So pi/3 - pi/6 = pi/6

Answer 2

In the second step, I'm multiplying by 2/2 (which is basically 1) to turn the denominator of the first fraction 3 into the LCD 6

Answer 3

Thanks! I had to ask because ppl in my class were spitting out answers as soon as it was asked.

Answer 4

You're welcome

Answer 5

you can also just imagine the unit circle, it would be much easier, like what is pi/2 - pi, if you imagine the unit circle start at the top and go to the right 1 half circle and you get to -Pi/2

Answer 6

so if you start at 1/3 pi and go back 1/6 pi you get 1/6 pi

Answer 7

Hmm, i cant imagine the 1/3 and 1/6,but mathematically i understand. Thats the other thing: I dont know which direction to go (right or left). I believe that I was taight at first to start at 2pi, then go counter clock wise. Idk, im confused now

Answer 8

1/6pi is 1/12 of the circle

Answer 9

so + would be counter clockwise and - would be clockwise

Answer 10

I would have to keep practicing that to understand, lol. Math doesnt come that quick to my brain.