FAN AND MEDAL The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

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FAN AND MEDAL The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

Mathematics
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\(\begin{array}{cccllll} (1&,&-1)\\ x&,&y \end{array}\qquad hypotenuse=r=\sqrt{x^2+y^2}\impliedby \textit{pythagorean theorem} \\ \quad \\ \quad \\ sin(\theta)=\cfrac{y}{r} \qquad % cosine cos(\theta)=\cfrac{x}{r} \qquad % tangent tan(\theta)=\cfrac{y}{x}\impliedby \textit{find "r", and plug and chug}\)
Mg I know you from my school :/
@carsonce I'm kinda homeschooled so...

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Other answers:

Draw the thing first
'standard' - relative to the +x axis i believe
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4th quadrant
You see how the components of that line are at right angles to the x and y axis?
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yeah
you have right triangles with side lengths of 1
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you have the side lengths of the right triangle, apply the definition of sin cos and tan to that angle theta, and remember you are in the 4th quadrant
Example \[\sin(\theta) = \frac{ 1 }{ \sqrt{2} }\] \[\theta =\sin^{-1} [\frac{ 1 }{ \sqrt{2} }] = 45\]
So the angle theta is 45, but recall you are in the 4th quadrant
oooooh okay I see now
So the theta is actually from +x CounterClockWise to that terminal side`
360-45 = 315
Thank you for your assistance. I'm usually pretty good at math, but trig is tripping me up so much...
The sin value of theta and (360-theta) are the same, (the y value on the unit circle point)
Right, me too when i took it, realize that the sin function is just the y-coord of the intersection of a line at angle theta through the origin and the unit circle of radius 1
each point ON the unit circle of radius 1 centered at the origin, is (x , y) = ( cos(angle), sin(angle) )
i fyou are that far yet
Ah okay
These may help, solved probs and stuff https://drive.google.com/folderview?id=0B1YZD9uzvB5TfnkzNzg5LU54VC1zUENBNHZoWlUxYXk1OXQtNklXdVVtZnA1T3c4X3hMMWM&usp=drive_web#list
the last 5 of them
oh forgot, here is a cheat sheet thing,
gl

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