If cosine is equal to -12/13 Find sine and tangent in Quadrant

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    Cosine Sine Tangent
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Discussion Overview

The discussion revolves around finding the sine and tangent values given that the cosine is -12/13, specifically in the context of Quadrant Two. Participants explore the relationships between the trigonometric functions and the implications of the quadrant on their signs.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant states that cosine is defined as adjacent/hypotenuse, and provides the relationships for sine and tangent, indicating that sine is positive and tangent is negative in Quadrant Two.
  • Another participant seeks clarification on the notation "^", which is explained as "raised to the power of".
  • Further clarification is provided regarding different ways to represent exponentiation in various formats, including HTML and LaTeX.

Areas of Agreement / Disagreement

Participants generally agree on the definitions and relationships of the trigonometric functions, but the initial question about finding sine and tangent remains unresolved, with no explicit solutions provided.

Contextual Notes

The discussion does not resolve the mathematical steps necessary to find the sine and tangent values, nor does it clarify the assumptions regarding the values of x and y in the context of the given cosine.

Ephratah7
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If cosine is equal to -12/13... Find sine and tangent in Quadrant

If cosine is equal to -12/13... Find sine and tangent in Quadrant Two... What is the answer??
 
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Draw a diagram.

cosine = adjacent/hypotenuse = x/r
sine = y/r
tangent = y/x
x^2 + y^2 = r^2

Quadrant two means sine>0, and tangent<0.

That should be enough info to solve the problem.
 
qspeechc said:
Draw a diagram.

cosine = adjacent/hypotenuse = x/r
sine = y/r
tangent = y/x
x^2 + y^2 = r^2

Quadrant two means sine>0, and tangent<0.

That should be enough info to solve the problem.

... ok, thanks. but what is ^??
 
Ephratah7 said:
... ok, thanks. but what is ^??

^^... is it "raised to the power of"?
 
On this and many math boards, if you are just using regular letters, "^" means to the power: 2^3= 8.

Of course, here, you can also use html codes: 2[ sup ]3[ / sup ]= 8, without the spaces, gives 23= 8. Or you can use LaTex: [ tex ]2^3= 8[ /tex ], again without the spaces, gives [tex]2^3= 8[/tex]. You can see the code used for any LaTex by clicking on it. Also, there is a tutorial for LaTex in the "Homework and Coursework" section.
 
HallsofIvy said:
On this and many math boards, if you are just using regular letters, "^" means to the power: 2^3= 8.

Of course, here, you can also use html codes: 2[ sup ]3[ / sup ]= 8, without the spaces, gives 23= 8. Or you can use LaTex: [ tex ]2^3= 8[ /tex ], again without the spaces, gives [tex]2^3= 8[/tex]. You can see the code used for any LaTex by clicking on it. Also, there is a tutorial for LaTex in the "Homework and Coursework" section.

...
i see.. thanks for the info.

"Euclid alone has looked on beauty bare"

^^
 

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