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Trigonometry 16 Online
OpenStudy (anonymous):

Anyone mind helping me out in some stuff in trigo? Got Exam later.

OpenStudy (solomonzelman):

yes, what exactly do you need help with ?

OpenStudy (anonymous):

Like example My opposite angle is 8 and my adjacent angle is -15. I need to find the hypotenuse of it.

OpenStudy (solomonzelman):

you mean that the opposite side is 8, the adjacent side is 15 and you want to find the hypotenuse that's unknown?

OpenStudy (anonymous):

|dw:1405985012601:dw|

OpenStudy (anonymous):

I dont know how to use the pythagorean theorem

OpenStudy (solomonzelman):

For this there is a formula ` a² + b² = c² ` (when the triangle, is a right triangle: saying that it has a 90º angle this formula always applies) `a` and `b` are the two smaller side of the triangle, and `c` is the hypotenuse ─ the biggest side. So in your case you just plug in 8 and 15 for a and b. ` a² + b² = c² ` ` 8² + 15² = c² ` ` 64 + 225 = c² ` so you are getting that ` c² = 287 ` and thus you know that ` c =17 ` \(\large\color{blue}{ \rm makes~~~sense ~~~? }\)

OpenStudy (solomonzelman):

289, not 287 but you get the idea, right ?

OpenStudy (solomonzelman):

I just didn't have a calculator.

OpenStudy (anonymous):

what about the decimal pi into fraction pi? how do you make it into fraction pi?

OpenStudy (solomonzelman):

I don't really get what you are asking, sorry -:(

OpenStudy (anonymous):

Wait let me show you.

OpenStudy (anonymous):

When i convert degree to radians its in decimal form.

OpenStudy (solomonzelman):

alright, but I have to go in 5 minutes. I am very sorry. (sport center) I didn't want to leave you without any help, so I'll take my last try to do at least something. @ jim_thompson5910 @ganeshie8 do you mind helping him instead of me, I gtg, please.

OpenStudy (solomonzelman):

@jim_thompson5910

OpenStudy (anonymous):

ok thanks

jimthompson5910 (jim_thompson5910):

What's your question?

OpenStudy (anonymous):

When i convert deg to rad its in decimal form.

jimthompson5910 (jim_thompson5910):

which angle are you converting?

OpenStudy (anonymous):

like when i do this equation 90 degrees divide 2 pi

jimthompson5910 (jim_thompson5910):

so you're converting 90 degrees to radians?

OpenStudy (anonymous):

well the answer on my calculator is 14.3223

OpenStudy (anonymous):

yup

jimthompson5910 (jim_thompson5910):

so multiply 90 by pi/180

OpenStudy (anonymous):

oh i see.

jimthompson5910 (jim_thompson5910):

what do you get

OpenStudy (anonymous):

Pi/2

OpenStudy (anonymous):

am i correct?

OpenStudy (anonymous):

Its because we got exam on conversion of units in Degree, radians, mils and grad

jimthompson5910 (jim_thompson5910):

pi/2 is correct

OpenStudy (anonymous):

we also got exam on trigo functions, reference angle, quadrantal angles, coterminal angles, and the angle of elevation and depression.

OpenStudy (anonymous):

Well im a freshmen in college thats why im a little stressed in trigo and advanced algebra.

jimthompson5910 (jim_thompson5910):

I'm sure you'll do fine. Just review all your notes and ask the teacher (or classmates) any questions that come to mind. Also try to memorize as much as possible and try to make things stick permanently.

OpenStudy (anonymous):

Just two more topics and im good to go. Reference and quadrantal angles

OpenStudy (anonymous):

Then im good to go later at our preliminary exam later

jimthompson5910 (jim_thompson5910):

Did you have a specific question?

OpenStudy (anonymous):

given theta = 18 degree

OpenStudy (anonymous):

then the second one is given theta is 75 degree

jimthompson5910 (jim_thompson5910):

so multiply that by pi/180 to get 18*(pi/180) = 18pi/180 = pi/10

jimthompson5910 (jim_thompson5910):

That means 18 degrees = pi/10 radians

OpenStudy (anonymous):

you mean in reference angle?

jimthompson5910 (jim_thompson5910):

oh I thought you were converting to radians?

OpenStudy (anonymous):

no i already got that conversions

OpenStudy (anonymous):

Im talking about a different topic.

OpenStudy (anonymous):

reference angle

jimthompson5910 (jim_thompson5910):

18 degrees is in Q1, so it is its own reference angle

OpenStudy (anonymous):

what about 75 degree?

jimthompson5910 (jim_thompson5910):

same thing

jimthompson5910 (jim_thompson5910):

anything from 0 to 90 is its own reference angle

OpenStudy (anonymous):

how about when its from 180 to 360 degrees?

OpenStudy (anonymous):

example 120 deg.

jimthompson5910 (jim_thompson5910):

A picture helps |dw:1405989573243:dw|

jimthompson5910 (jim_thompson5910):

|dw:1405989584484:dw|

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