Question

could someone please help explain how find the exact values would appreciate it.
Ex: cos 135 degrees

Answer 1

Hello, are you familiar with the unit circle?

Answer 2

For example, \[\cos (30)=\frac{\sqrt{3}}{2}\]

Answer 3

hey and uhm no not that much but I know what it is. I know the values and etc like you labeled cos 30

Answer 4

Okay, what you really want to do is checkout the unit circle, at each major point on the circle is an x,y coordinate

Answer 5

sin(x) is equivalent to the y value and cos(x) is equivalent to the x value

Answer 6

okay so suppose the angle here I labeled as an example is 135 but what if its like above 360 for example 460 degrees?

Answer 7

the easiest way is to convert to radians and subtract 2 pi

Answer 8

Do you know how to do that?

Answer 9

Would mean alot if you could help just began this and already confused and got a test tomorrow.

Answer 10

I know how to convert to radians not the rest.

Answer 11

http://www.mathsisfun.com/geometry/images/circle-unit-304560.gif

Answer 12

on the unit circle, take a look at 135 deg

Answer 13

cos(x) is equivalent of the x value, you see \[-\frac{\sqrt{2}}{2}\]

Answer 14

that is the exact value

Answer 15

yes x is is that in the pair of coordinates

Answer 16

Yeah

Answer 17

That's correct

Answer 18

could you please do me a favor

Answer 19

Sure

Answer 20

I did this on my own my study guide please verify or criticize on my wrong doings,
I was to once again find the exact value for an angle of 125 degrees so I made a graph and did 180-125 and got 55 and since tan 1255 is in the second quadrant and negative i got the final answer of -tan 55 degrees. would that be correct?

Answer 21

tan 125* not 1255 sorry

Answer 22

Yes, that is

Answer 23

phew! thanks. but one more question could you please help me with an example if the angle was greater than 360 degrees?

Answer 24

Whats your question?

Answer 25

cos 850 degrees how would I solve that for the exact value?

Answer 26

main point or question being what to do if the value is greater than 360

Answer 27

Round to the nearest tenth. Well, that is if your dong trigonometry. Are you dong Trigonometry?

Answer 28

yes I am.

Answer 29

Alright, well anything that is equal to 360 degrees is a circle. But, cos85 = -36.8292. What you do next is that you round -36.8292 to the nearest 10th.

Answer 30

uhm I wrote 850 but we still round?

Answer 31

You have to solve cos 850 to get your answer..

Answer 32

alright I think I got the idea thanks :)

Answer 33

No problem.