Help Me Learn! D:
<div class="IPBDescription">Trigonometry is hard!</div> ive decided to come to this offtopic forum asking for help because apparently alot of people do
so here is my problem i just started my school year its been about a week and i havent learned a thing in my math class so i need some help
my two main problems are
1) my teacher speaks barely any english so i cant understand anything he explains
2) my text book is not one of those books without examples and whatnot so i cant teach myself its only a book full of math problems
so basicly im asking you guys on these forums to teach me trigonometry <!--emo&:p--><img src='http://www.unknownworlds.com/forums/html//emoticons/tounge.gif' border='0' style='vertical-align:middle' alt='tounge.gif' /><!--endemo-->
here is the first section im on and i need some one to explain it thoroughly (spelling?) ill take 1 problem from each set of questions so some one can explain each problem and how to do it
since i have no idea how to make the symbol of pi on the keyboard ill replace it with this @ everywhere you see the at symbol means its pi
1.1 Radian and degree measures
problem set 1
Directions: determine the quadrant in which the angel lies (the angel measure is given in radians)
5. (a) @/5 (b) 7@/5
problem set 2
Directions: sketch the angle in standard position
11. (a) 5@/4 (b) 2@/3
problem set 3
Directions: determine two coterminal angles(one positive one negative) for the given angle give your answer in radians
15. (a) @/12 (b) 2@/3
problem set 3
directions : find the complement and supplement of the angel
19. (a) @/3 (b) 3@/4
more problems to come
im posting here for help because ive seen alot of smart people on these forums and im hoping that you guys can help me out
thanks in advance for all help
so here is my problem i just started my school year its been about a week and i havent learned a thing in my math class so i need some help
my two main problems are
1) my teacher speaks barely any english so i cant understand anything he explains
2) my text book is not one of those books without examples and whatnot so i cant teach myself its only a book full of math problems
so basicly im asking you guys on these forums to teach me trigonometry <!--emo&:p--><img src='http://www.unknownworlds.com/forums/html//emoticons/tounge.gif' border='0' style='vertical-align:middle' alt='tounge.gif' /><!--endemo-->
here is the first section im on and i need some one to explain it thoroughly (spelling?) ill take 1 problem from each set of questions so some one can explain each problem and how to do it
since i have no idea how to make the symbol of pi on the keyboard ill replace it with this @ everywhere you see the at symbol means its pi
1.1 Radian and degree measures
problem set 1
Directions: determine the quadrant in which the angel lies (the angel measure is given in radians)
5. (a) @/5 (b) 7@/5
problem set 2
Directions: sketch the angle in standard position
11. (a) 5@/4 (b) 2@/3
problem set 3
Directions: determine two coterminal angles(one positive one negative) for the given angle give your answer in radians
15. (a) @/12 (b) 2@/3
problem set 3
directions : find the complement and supplement of the angel
19. (a) @/3 (b) 3@/4
more problems to come
im posting here for help because ive seen alot of smart people on these forums and im hoping that you guys can help me out
thanks in advance for all help
Comments
Oh yeah... pai - <span style='font-size:11pt;line-height:100%'><span style='font-family:Times'>π</span></span>
**Applause**
too bad no one's explained what all those numbers are on it <!--emo&:p--><img src='http://www.unknownworlds.com/forums/html//emoticons/tounge.gif' border='0' style='vertical-align:middle' alt='tounge.gif' /><!--endemo-->
Angle: arc distance measured between two lines.
Angel: winged cherubim of christian mythology.
I hope you can read it (I can), it's scanned directly from my calculus book.
Anything else ? <!--emo&:)--><img src='http://www.unknownworlds.com/forums/html//emoticons/smile-fix.gif' border='0' style='vertical-align:middle' alt='smile-fix.gif' /><!--endemo-->
1) my teacher speaks barely any english so i cant understand anything he explains<!--QuoteEnd--></td></tr></table><div class='postcolor'><!--QuoteEEnd-->
he doesn't happen to be your english teacher as well, does he?
anyway, i can't believe they're teaching you trig before geometry. and it's angle, not angel ffs.
1) my teacher speaks barely any english so i cant understand anything he explains<!--QuoteEnd--></td></tr></table><div class='postcolor'><!--QuoteEEnd-->
he doesn't happen to be your english teacher as well, does he?
anyway, i can't believe they're teaching you trig before geometry. and it's angle, not angel ffs. <!--QuoteEnd--> </td></tr></table><div class='postcolor'> <!--QuoteEEnd-->
<!--emo&???--><img src='http://www.unknownworlds.com/forums/html//emoticons/confused-fix.gif' border='0' style='vertical-align:middle' alt='confused-fix.gif' /><!--endemo--> no hes not my english teacher...
and i dont know what you mean about the gemoetry thing i took it like 3 years ago
grillkhole can you explain everything in that first pic?
socatoa, i think its socatoa, i might of mixed it up in the lettering it but its
Sin = Opposite/ hypotenuse
Cos = Adjactent/ hypotenuse
Tan = Opposite/ Adjacent.
i might of mixed up Sin and Cos
Second picture says that for 2 angles to be supplementary, their angles add up to π (180 degrees) and complimentary is π/2 or 90 degrees. (Obvious I hope)
Edit:
Johndoe is right with the socatoa, except to work its "soh-cah-toa" (h's for hypotenuse)
All the trig functions have inverses too.
Sine => cosecant
Cosine => secant
Tangent => cotangent
Edit 2:
Some useful simple trig identities:
<!--c1--></div><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td><b>CODE</b> </td></tr><tr><td id='CODE'><!--ec1-->
sinθ/cosθ = tanθ
sin?θ + cos?θ = 1
1 + tan?θ = sec?θ
1+ cot?θ = csc?θ
cos?θ - sin?θ = cos2θ (thats a 2, not squared)
sin(A+B) = sinA*cosB + cosA*sinB
sin(A-B) = sinA*cosB - cosA*sinB
cos(A+B) = cosA*cosB - sinA*sinB
cos(A-B) = cosA*cosB + sinA*sinB
tan(A+B) = (tanA + tanB) / (1 - tanA*tanB)
tan(A-B) = (tanA - tanB) / (1 + tanA*tanB)
<!--c2--></td></tr></table><div class='postcolor'><!--ec2-->
Oh, and the CAST law.
[EDIT since the diagram didn't work]
Quad 2 | Quad 1
sin+.....| all+
--------------------
Quad 3 | Quad 4
tan+.....| cos+
[/EDIT]
Those are the quadrants in which each ratio (and its inverse) is positive. It's called CAST since, if you read it counter-clockwise starting at Quad 4, it reads "CAST".
That is to come later, though, right now you are just about to start to convert angles, which is very basic.
That said: Chrono, get a different textbook.
That picture is only a handy shortcut for some of the less cool things in trig, and it's not obvious from it how sin, cos, and tan work (amongst other things).
don't forget !
sin = y/r
cos = x/r
tan = y/x
<img src='http://images.amazon.com/images/P/0618239723.01.MZZZZZZZ.jpg' border='0' alt='user posted image' />
<img src='http://college.hmco.com/shared/images/covers/booksite_coverart/0618052917_lg.gif' border='0' alt='user posted image' />
<img src='http://images.amazon.com/images/P/0618239723.01.MZZZZZZZ.jpg' border='0' alt='user posted image' />
<img src='http://college.hmco.com/shared/images/covers/booksite_coverart/0618052917_lg.gif' border='0' alt='user posted image' /> <!--QuoteEnd--> </td></tr></table><div class='postcolor'> <!--QuoteEEnd-->
You <b>DO</b> have the same Calculus textbook as I used to have.
Man, Grillkohle, John Doe and Dorian Grey (As I suspected), seriously you guys pwned this thread. You taught a guy trigonometry within 3 hours. GG.
<!--emo&:0--><img src='http://www.unknownworlds.com/forums/html//emoticons/wow.gif' border='0' style='vertical-align:middle' alt='wow.gif' /><!--endemo--> ..........
Oh, also, can you give me some excerpts from your book ? I just think its weird that it doesn't have examples.
Oh my God. You just know that is made by a [fellow] American.
But remember the phrase "All Students Take Calculus"