A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
If sin theta=3/5 and theta is in quad 2 the exact form of csc (pi/2theta) is...?
Just want to make sure if this works??
anonymous
 one year ago
If sin theta=3/5 and theta is in quad 2 the exact form of csc (pi/2theta) is...? Just want to make sure if this works??

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sinθ = 3/5 csc(π/2  θ) = secθ = 1/cosθ = 4/5

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436736243879:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2given sin = 3/5 and in quad 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@triciaal So what does that mean?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2csc = 1/sin = hypotenuse / opposite 5/4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The answer is 5/4 then?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436737161908:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What do I do with that?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2your question "the exact form of csc (pi/2theta) is?"

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2shouldn't it be between 1 and 1 only?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1"sinθ = 3/5 csc(π/2  θ) = secθ = 1/cosθ = 4/5" in your work here the only mistake you made was not flipping 4/5 that cos(theta)=4/5 so 1/cos(theta) is the reciprocal of that

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2csc = hypotenuse/ opposite

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436737547332:dw However, since we are in the 2nd quadrant $$ \csc\left (\frac{\pi}{2}\theta\right )=\frac{{\bf\color{red}{}}5}{~~4} $$ Note the negative corresponding to the value of \(x\) in the 2nd quadrant.

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2@zepdrix why/when is the value < 1 in general?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Trish :) Maybe you're thinking about sine and cosine, which have restricted output values between 1 and 1

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0That's the only way they will satisfy a triangle `hypotenuse longer than other sides`\[\large\rm \sin \theta=\frac{opposite}{hypotenuse}=\frac{shorter}{longer}\lt1\]But for Cosecant, I guess we have the reverse going on, ya? We always need to be 1 or larger.\[\Large\rm \csc \theta=\frac{hypotenuse}{opposite}=\frac{longer}{shorter}\gt1\]

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.0Does this make sense? dw:1436738761632:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2@zepdrix thanks just never thought about it @ybarrap thanks for the CAST diagram but I was checking the limit ; not if positive or negative

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2@ybarrap no tan on your chart

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry guys I'm back! So i think I got the answer this time around! @triciaal @zepdrix

anonymous
 one year ago
Best ResponseYou've already chosen the best response.01/3/5 I think @zepdrix @triciaal @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.1what is that the answer to?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1are you looking at a new question?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No for the one I put on

freckles
 one year ago
Best ResponseYou've already chosen the best response.1oh I guess you didn't understand what anyone posted :p

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah nothing at all XD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is the only question I can't get!! :////

freckles
 one year ago
Best ResponseYou've already chosen the best response.1ok let's start from the beginning this shouldn't be long at all

freckles
 one year ago
Best ResponseYou've already chosen the best response.1"sinθ = 3/5 csc(π/2  θ) = secθ = 1/cosθ = 4/5" do you remember this is what you first posted here?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1this was your first try here anyways

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah thats what I did, but I figured it was wrong

freckles
 one year ago
Best ResponseYou've already chosen the best response.1the first part is totally awesome

freckles
 one year ago
Best ResponseYou've already chosen the best response.1the second part the part where you say 1/cos(theta)=4/5 is a little off

freckles
 one year ago
Best ResponseYou've already chosen the best response.1yes cos(theta)=4/5 but what is 1/cos(theta)=?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1if I tell you a=2/5 then what is 1/a=?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1or how about this if I tell you 1/a=5/2 then a=?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1a and 1/a are reciprocals of one another that means they are the "flippings of each other" like 2 and 1/2 are reciprocals and 2/5 and 5/2 are reciprocals and 2/5 and 5/2 are reciprocals

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so if I say a=2/5 then 1/a=5/2 or if I say 1/a=5/2 then a=2/5

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so if cos(theta)=4/5 then 1/cos(theta)=?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1if you want to replace cos(theta) with a you can if a=4/5 then 1/a=?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@freckles Alright I think I need a little bit to take this all in cuz you just shot me a whole bunch of stuff at me XD I think I get what your saying let me see what I can do

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait so would it be 5/4 then??? *fingers crossed right now that its right** haha

freckles
 one year ago
Best ResponseYou've already chosen the best response.15/4 is indeed the reciprocal of 4/5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So where do you go on from there? Is there more to be done??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohmygod that simple for a question like this? My mind is just blown right now .... XD

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\["\sinθ = 3/5 \\ \csc(π/2  θ) = \secθ = 1/\cosθ = 4/5" \\ \text{ so the correcting your work would look like this: } \\ \csc(\frac{\pi}{2}\theta)=\sec(\theta)=\frac{1}{\cos(\theta)}=\frac{1}{\frac{4}{5}}=\frac{5}{4}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1by the way you know that first thing you used it called a cofunction identity most people forget that one so you are doing awesome!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@freckles Thanks again seriously!! Haha really helped! Literally am beating myself up not knowing lol

freckles
 one year ago
Best ResponseYou've already chosen the best response.1i think we were all working on our algebra in trig and even in calculus

freckles
 one year ago
Best ResponseYou've already chosen the best response.1guess what you are going to have to know so much algebra for calculus you are going to think you never learned algebra :p well that has been my experience with some anyways I'm kind a kidding. I know you are going do okay especially since you can always get help if you need it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Haha true!! thanks again! I know with Calc I am going to need lots of help especially!!

triciaal
 one year ago
Best ResponseYou've already chosen the best response.2math is fun just takes lots of practice
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.