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nickersia
 3 years ago
sinA=(sprt(3)/2), find two values for cosA without using calculator (x is from 0 do 360 degrees)
nickersia
 3 years ago
sinA=(sprt(3)/2), find two values for cosA without using calculator (x is from 0 do 360 degrees)

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rachelfreak123
 3 years ago
Best ResponseYou've already chosen the best response.2can you use the unit circle?

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0Yes I think you can, (something with leters "CAST"  I don't understand it)... And please write detailed explanation, thanks :)

rachelfreak123
 3 years ago
Best ResponseYou've already chosen the best response.2uniti cicle is cool because you just find the value for sin and then the value for cos is with it

rachelfreak123
 3 years ago
Best ResponseYou've already chosen the best response.2i have no idea what CAST is

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0Yes it helped for this example, but I still don't know how to the others... For example: If tanA=1/sqrt(3) find 2 values for cosA

rachelfreak123
 3 years ago
Best ResponseYou've already chosen the best response.2well if it is for other than sin or cos you have to use SOH CAH TOA to find the lenghts of the sides of the triangle all trig crap comes back to triangles....

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, and I use TOA so which leads me to tanX=sinX/cosX In this example sinA=1 and cosA=sqrt(3) which is, I think not possible

rachelfreak123
 3 years ago
Best ResponseYou've already chosen the best response.2well TOA tells you that the opposite side of the triangle is 1 and the ajacent is root 3, so you just need to find the hypot to figure cos

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358706797888:dw

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0If sin is 1 than cos must be 0, that's why I'm confused

rachelfreak123
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1358706898345:dw

rachelfreak123
 3 years ago
Best ResponseYou've already chosen the best response.2you do not really need the circle part, just a triangle

rachelfreak123
 3 years ago
Best ResponseYou've already chosen the best response.2the circle would giev you the sign, but atht is uaully just pos and neg

phi
 3 years ago
Best ResponseYou've already chosen the best response.0If sin is 1 than cos must be 0, that's why I'm confused that is true for the unit circle where the radius is 1 but if you are given tan A = \(\frac{1}{\sqrt{3}}\) it is easier to say the leg of the opposite side is 1 and the adjacent side is sqrt(3) and figure out the hypotenuse (radius) using pythagoras

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0I get the right result +sprt(3)/2... Thanks, but I'm not sure I understand it clearly yet, I'll try more examples and if I have troubles I'll post :)

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0Oh yes, radius doesn't have to be 1, you're right :) Thanks phi

phi
 3 years ago
Best ResponseYou've already chosen the best response.0I always do these problems using pythagoras to figure out the missing 3rd side. then soh cah toa to get the trig function they want. you can get 2 different values based on whether x is + or  and y is + or 

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358707405927:dw That's how it should look on a circle?

phi
 3 years ago
Best ResponseYou've already chosen the best response.0btw, cast is just a way to remember which quadrant a trig function is positive See http://mathonweb.com/help_ebook/html/cast.htm but I never need it: I just look at the sign of the x and y values

phi
 3 years ago
Best ResponseYou've already chosen the best response.0Yes to your picture notice you will get a positive 1/sqrt(3) if you started with 1/sqrt(3) (that would give you the other angle or CAST (see link) tells you that tan is + is the 3rd quadrant

nickersia
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks for tips :) Oh, I understand now what it is :D actually you're right, it's not needed, just need to know the coordinates and that sin is on yaxis and cos on xaxis... Thanks a lot, I'm gonna do the rest of the questions :)
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