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Mathematics 22 Online
OpenStudy (anonymous):

tanθ (see attachment)

OpenStudy (anonymous):

|dw:1378771355448:dw|

jimthompson5910 (jim_thompson5910):

hint: use the unit circle and the idea that tan(x) = sin(x)/cos(x)

OpenStudy (anonymous):

Can you do this problem with me to see if I can understand the next ones? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

do you have the unit circle with you?

OpenStudy (anonymous):

Yes

jimthompson5910 (jim_thompson5910):

ok what is sin(60)

OpenStudy (anonymous):

-0.3048106211

jimthompson5910 (jim_thompson5910):

don't use a calculator

jimthompson5910 (jim_thompson5910):

use the unit circle

OpenStudy (anonymous):

Oh. \[\frac{ \sqrt{3} }{ 2 } \]

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

it's \[\frac{ \sqrt{3} }{ 2 } \]

jimthompson5910 (jim_thompson5910):

what is cos(60)

OpenStudy (anonymous):

1/2

jimthompson5910 (jim_thompson5910):

divide sin(60) by cos(60) to get your answer

OpenStudy (anonymous):

\[\sqrt-{3}\]

OpenStudy (anonymous):

Well - on the outside

jimthompson5910 (jim_thompson5910):

no it's positive, so the answer is actually \[\large \sqrt{3}\]

jimthompson5910 (jim_thompson5910):

hopefully you see how it's positive?

OpenStudy (anonymous):

Yes, thank you!

OpenStudy (anonymous):

How would I find sin of 225?

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

225 is also found on the unit circle

jimthompson5910 (jim_thompson5910):

do you see it?

OpenStudy (anonymous):

Yes. What is the ratio for sin and cos I mean?

jimthompson5910 (jim_thompson5910):

don't worry about cos, just focus on sine

OpenStudy (anonymous):

I understand how to solve them, I just need the ratios now :)

jimthompson5910 (jim_thompson5910):

check out this unit circle and look for the angle 225 degrees http://www.regentsprep.org/regents/math/algtrig/ATT5/600px-Unit_circle_angles_svg.jpg

OpenStudy (anonymous):

I understand all that.. Tan = sin/cos .... What is that ratio for sin and cos? I have other problems to do.

jimthompson5910 (jim_thompson5910):

there is no ratio for sine and cosine, oh you mean like sine = opposite/hypotenuse and cosine = adjacent/hypotenuse

OpenStudy (anonymous):

Yes, thank you!

jimthompson5910 (jim_thompson5910):

ok glad it's clicking

OpenStudy (anonymous):

So the sin for 225 would just be - sqrt 2 over 2 right?

jimthompson5910 (jim_thompson5910):

good

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