Question

Please and Thank you! "Evaluate each of the following. In each case, explain your thinking."

Answer 1

I'm not looking for the answers, just some guidance. Besides I did a few already...

Answer 2

a. Part I: √3/2

b. Part I: 5 = c
Part II: don't I just use the equation given to me?\[\sin (\tan^{-1} (\frac{ 4 }{ 3 }))\]

Answer 3

Use the triangle given to you. What the question is asking is what does sin x = using a triangle where tanx = 4/3? So using that triangle, just find the sin of it :3

Answer 4

OH!!! gotcha \[\sin = \frac{ opp }{ hyp }\]

Answer 5

Yeah xD

Answer 6

\[\sin = \frac{ 4 }{ 5 }\] Is that my answer?

Answer 7

Yep.

Answer 8

Final answer?

Answer 9

Well, it wants the hypotenuse, so that was 5. Now we have sin(theta) = 4/5. you probably should actually find theta from the looks of the question

Answer 10

Geez, amazing how many of the people asking questions on here are all people using this apex whatever.

Answer 11

Yes! It is crazy :P

Answer 12

Some questions ive seen 4 times I think, lol. So you dont still use apex, do ya?

Answer 13

Not exactly? I used to though. I can still log on, and check out the different assignments. I want to be ready for my first class "Intro to College Math"

Answer 14

So asking people about certain formulas and identities should help! Also I got:\[\theta = 53.13º\]

Answer 15

Lol, that works xD And that seems right to me. But yeah, intro to college math? I would think trig is above the intro level xD

Answer 16

Oh. So then I was doing all of this for NO REASON!?!?!?! NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Answer 17

But actually, its okay. I still need to keep my mind sharp!

Answer 18

Well......At my college, we have math 124 (college algebra). Which is at the same level ish as math 126 (precalculus 1). Then we have math 127 (precalculus 2/trigonometry). So at my school, intro to college math would be 1-2 levels below trig.

Answer 19

oh okay! Well, I only have to take one course for Math (for my major)

Answer 20

Ah, nice, lol. I still have 4 more x_x It sucks, if it werent for a schedule conflict id be able to take calc 3 this semester.

Answer 21

Oh dang! I don't think I'd ever be able to do that.. What is your major?

Answer 22

Well, I have an associates in japanese and im working on a math major. Im attending a 4-year uni for the first time starting the 27th where Im taking more Japanese classes for a minor and starting on my bachelors in math. I still have 5 more classes at the community college level first, though, but since I have a high enough math already, I can start taking some 300 level classes.

Answer 23

JAPANESE? I bow down man! And 300 level? I'm still at 100, maybe less... So inadequate

Answer 24

まだ日本語を学んでいるですが、もうたくさん習いました

Answer 25

Eh, my japanese isnt that great, but I know some, haha. But yeah, I guess. All 300 level means is Ive done enough calculus, haha.

Answer 26

I have no clue what that is... I've taken elementary Spanish, one year of high school Mandarin, and one year of Tagalog/Ilocano

Answer 27

Still know NOTHING! :P

Answer 28

Lol, well after 4 semesters of Japanese I still feel like I know nothing xD My hearing is horrible, so I have no idea what people are sayign to me. but I know how to occasionally answer and such. I can't speak well either, haha. But I'm better than I thought I'd be if Im just typing or texting in Japanese, lol.

Answer 29

Why is your name Psymon? Psy is a famous rapper from South Korea, but you probs knew that! And it sounds like "simon"

Answer 30

Sorry, I was just always wondering!

Answer 31

Yeah, it does sound like Simon, lol. I've had that pseudonym thingy since I was maybe 10 or 11, lol. So something that has stuck. If I don't use Psymon, I use PsymonSays

Answer 32

I see! Oh and we kinda never finished the problem? Letter a, Part II?

Answer 33

To solve the problem, find the the angle whose value is rt3/2? That problem?

Answer 34

Wait... what?

Answer 35

Im not exactly sure which question xD I see the arccos(cos-pi/6) one

Answer 36

...find the angle in the interval [0,π] whose cosine is √3/2? Yes that one. Sorry, I was a bit distracted

Answer 37

Well, easy if you know your unit circle xD It gives you the answer with the whole arccos(cos-pi/6). Since arccos and cos are inverses, they just cancel out and leave -pi/6. Only thing to know is that since cosx is an even function, cos(-pi/6) is the same as cospi/6.

Answer 38

Doesn't cos(-π/6) already equal √3/2?

Answer 39

Yep. But it wants an angle between 0 and pi xD

Answer 40

30º angle!

Answer 41

Lol, yep xD But all I meant is that any cosine angle that is negative is the same value when its positive. cos(-pi/6) = cos(pi/6)

Answer 42

I understand that part... And both equal 30º.