Question

How do you find reference angles? Help!!

Answer 1

I don't know how to explain, just give you example: if the question asks you the reference angle of 11pi/6 , the answer is 1pi/6. if the angle is 10pi/3, then reference angle is 1pi/3 . if the angle is 31pi/4, then the reference angle is 1pi/4. does it helps?

Answer 2

Yes I think so. I just have the most trouble when looking at a picture example. Seeing all angles drawn at once are confusing

Answer 3

and the way to get it depends on the trig, for example, if the trig is sin 11pi/6 find the reference angle. you know that to sin , the period is 2pi, so if you have a angle , and then add 2pi in it, you get another angle has exactly the point of the original one.

Answer 4

the small one is pi/6 the bigger is pi/6 +2pi = 13pi/6 the same point. --> the same value of sin, and cos.

Answer 5

the question may ask you about the reference angle of 13pi/6. so your duty is figure out the smallest one. how? yes there is a way.

Answer 6

\[\frac{ 13\pi }{ 6 }= \frac{ 12\pi }{ 6 }+\frac{ 1\pi }{ 6 }=2\pi + \frac{ 1\pi }{ 6 }\]

Answer 7

you can take out EXACTLY 2pi. the leftover is reference angle.

Answer 8

another example is find the reference angle of 15pi/6 . do the same way, you have 15pi/6 = 12pi/6 + 3pi/6 = 2pi + 1pi/2. so the reference angle is pi/2

Answer 9

Hope that helps

Answer 10

That helps so much!! Wow thank you for your time and patience! Have a good night

Answer 11

you too. don't get a mathematical nightmare!! hihihi