Trig Circle, is there any pattern to the radian values?

[johnjohn320]

Y'know, 30 degrees = pi/6, 150 degrees = 5pi/6....I know there's a pattern that would make this easier to memorize, but I'm very tired and can't find it .

 

[spp]

why would you need a pattern?? pi=180

 

[minendo]

Originally posted by: johnjohn320
Y'know, 30 degrees = pi/6, 150 degrees = 5pi/6....I know there's a pattern that would make this easier to memorize, but I'm very tired and can't find it .

Increments of 30.

 

[johnjohn320]

Originally posted by: spp
why would you need a pattern?? pi=180

Yeah, but something I have to do on a quiz tomorrow is go around and fill in the radians for all these different thetas. I have to know what they are, in other words, not just how to convert them.

 

[RossGr]

How can you possible fail to see the pattern?

can you see this pattern?

1/6, 2/6. 3/6, 4/6,5/6...

How far do I need to carry it out?

Multiply each term of the above by PI, reduce to simplest form.

 

[Triumph]

this is not that hard. like RossGR said, it's just fractions. 60 degrees is 1/6th of 360, or 1/6*2pi = 1/3pi. What is so hard about that?

The harder thing to remember is the triangles... Sine, cosine, and tangent of 30, 45, 60, 90 degree triangles.

 

[dighn]

i dont understand your question. what od you mean? are you talking about special angles like 90, 30, 60 45 etc?

 

[CarlKillerMiller]

just remember to divide the base numer (180=pi) correctly, I.E 90=(1pi/2)

When you do it by degrees, you should just be okay by remembering that they all start at different increments and adding.
so 30=pi/6 so 60 would be pi/3.

45 would be pi/4

like that.

 

[Triumph]

Originally posted by: dighn
i dont understand your question. what od you mean? are you talking about special angles like 90, 30, 60 45 etc?

I don't have a question, because I know the answer.

My high school trig teacher made us memorize the sine, cosine, and tangent of all the regular angles up to 360. That means 30, 45, 60, 90, 120, 135, 150, 180, etc. Example: A 45 has equal sides. 1, 1, and root2 for example (pythagorean). So sin(45)=opposite/hypotenuse = 1/root2 = root2/2.

Now memorize that for all the rest of the angles, because we weren't allowed to use calculators on tests.

 

[pray4mojo]

Originally posted by: johnjohn320

Originally posted by: spp
why would you need a pattern?? pi=180

Yeah, but something I have to do on a quiz tomorrow is go around and fill in the radians for all these different thetas. I have to know what they are, in other words, not just how to convert them.

Degree times pi/180 converts to radians.

 

[dighn]

Originally posted by: Triumph

Originally posted by: dighn
i dont understand your question. what od you mean? are you talking about special angles like 90, 30, 60 45 etc?

I don't have a question, because I know the answer.

it was for the original poster

 

[Ameesh]

Originally posted by: johnjohn320
Y'know, 30 degrees = pi/6, 150 degrees = 5pi/6....I know there's a pattern that would make this easier to memorize, but I'm very tired and can't find it .

O M G


i cry for todays youth.

this is potentially worse the the axis and allies thread.

 

[johnjohn320]

Originally posted by: Ameesh

Originally posted by: johnjohn320
Y'know, 30 degrees = pi/6, 150 degrees = 5pi/6....I know there's a pattern that would make this easier to memorize, but I'm very tired and can't find it .

O M G


i cry for todays youth.

this is potentially worse the the axis and allies thread.

Jesus Christ guys, I've spent all night re-typing a fscking 15 page essay for gov't because my group is made up of lazy-asses, and I don't want to get a bad grade. I'm tired, I'm pissed off, I've been awake for about 30 hours now. So I'm sorry that I missed something simple. You're right, it's easy, I just wasn't thinking. Now....RELAX!!!!

edit, btw, half you calling me stupid answered a completely different question than i asked, but it's cool.

 

[Yossarian]

Originally posted by: Ameesh

Originally posted by: johnjohn320
Y'know, 30 degrees = pi/6, 150 degrees = 5pi/6....I know there's a pattern that would make this easier to memorize, but I'm very tired and can't find it .

O M G


i cry for todays youth.

this is potentially worse the the axis and allies thread.

only if you misunderstand it as badly as you misunderstood that thread

 

[johnjohn320]

Originally posted by: Triumph

Originally posted by: dighn
i dont understand your question. what od you mean? are you talking about special angles like 90, 30, 60 45 etc?

I don't have a question, because I know the answer.

My high school trig teacher made us memorize the sine, cosine, and tangent of all the regular angles up to 360. That means 30, 45, 60, 90, 120, 135, 150, 180, etc. Example: A 45 has equal sides. 1, 1, and root2 for example (pythagorean). So sin(45)=opposite/hypotenuse = 1/root2 = root2/2.

Now memorize that for all the rest of the angles, because we weren't allowed to use calculators on tests.

Yeah, that's exactly what I have to do tomorrow, at least one of the things i have to do tomorrow..

 

[hdeck]

it's n(pi)/6 where n is a number 1-6. just reduce fractions for the others to get 2(pi)/3, etc.

 

[johnjohn320]

Originally posted by: Triumph
this is not that hard. like RossGR said, it's just fractions. 60 degrees is 1/6th of 360, or 1/6*2pi = 1/3pi. What is so hard about that?

The harder thing to remember is the triangles... Sine, cosine, and tangent of 30, 45, 60, 90 degree triangles.

LOL that's not what I asked at all...

sheesh people are so strange here. "OMG You're so stupid! How can you not see this? Now watch me answer something completely different!"

Anyway, i should just let this thread die already. I figured it out, no big. For the record, I'm getting an A in trig, as well as just about all the rest of my classes, all honors and AP courses at a blue ribbon school. People here are quick to freak out and call me stupid, aren't I allowed to have one of those "smack my own forehead" moments every once in awhile?

 

[Muzzan]

The harder thing to remember is the triangles... Sine, cosine, and tangent of 30, 45, 60, 90 degree triangles.

You failed to see the pattern?

sin(0) = sqrt(0/4) = 0
sin(30) = sqrt(1/4) = 1/2
sin(45) = sqrt(2/4) = sqrt(2)/2
sin(60) = sqrt(3/4) = sqrt(3)/2
sin(90) = sqrt(4/4) = 1

cos(0) = sqrt(4/4) = 1
cos(30) = sqrt(3/4) = sqrt(3)/2
etc.

LOL that's not what I asked at all...

Perhaps you should ask your questions in a clearer way. Really, what more than pi radians = 180 degrees do you need to know to be able convert from rad to deg, and vice versa?