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Mathematics 18 Online
OpenStudy (anonymous):

If a triangle lies in the interval -1

OpenStudy (fibonaccichick666):

SO i feel like there is information missing here

OpenStudy (fibonaccichick666):

does it state that all of the coordinates fall within this restricted bound

OpenStudy (fibonaccichick666):

all of the x coordinates**

OpenStudy (anonymous):

I'm trying to find the value of cos(arcsin (x/5) , but I'm not sure where to draw the triangle. no coordinates specified

OpenStudy (fibonaccichick666):

ahh, ok, now I understand. So the real question here is when will the sine of a number be negative?

OpenStudy (anonymous):

which quadrant

OpenStudy (fibonaccichick666):

If you do not understnad how I made it to that point let me know

OpenStudy (fibonaccichick666):

yea, which quadrant

OpenStudy (anonymous):

that's where I'm stuck

OpenStudy (fibonaccichick666):

ok so first, do you understand why I am asking you when is sine negative?

OpenStudy (anonymous):

sine is negative in the 3rd and 4 quadrants

OpenStudy (anonymous):

but it has to fall in the interval -1<x<0

OpenStudy (fibonaccichick666):

Sine is negative in the third quadrant and fourth That is correct

OpenStudy (fibonaccichick666):

so if you have the fraction \(\frac{x}{5}\) And you are bounded with the bounds on x you say, is that fraction positive or negative?

OpenStudy (fibonaccichick666):

once you figure that out, you then can use the structure of the coordinate plane to decide whether your triangle is in quad III or IV

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