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anonymous
 one year ago
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.
anonymous
 one year ago
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\begin{array}{cccllll} (1&,&1)\\ x&,&y \end{array}\qquad hypotenuse=r=\sqrt{x^2+y^2}\impliedby \textit{pythagorean theorem} \\ \quad \\ \quad \\ sin(\theta)=\cfrac{y}{r} \qquad % cosine cos(\theta)=\cfrac{x}{r} \qquad % tangent tan(\theta)=\cfrac{y}{x}\impliedby \textit{find "r", and plug and chug}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Mg I know you from my school :/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@carsonce I'm kinda homeschooled so...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1'standard'  relative to the +x axis i believe

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1You see how the components of that line are at right angles to the x and y axis?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1you have right triangles with side lengths of 1

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1you 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

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1Example \[\sin(\theta) = \frac{ 1 }{ \sqrt{2} }\] \[\theta =\sin^{1} [\frac{ 1 }{ \sqrt{2} }] = 45\]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1So the angle theta is 45, but recall you are in the 4th quadrant

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oooooh okay I see now

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1So the theta is actually from +x CounterClockWise to that terminal side`

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you for your assistance. I'm usually pretty good at math, but trig is tripping me up so much...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1The sin value of theta and (360theta) are the same, (the y value on the unit circle point)

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1Right, me too when i took it, realize that the sin function is just the ycoord of the intersection of a line at angle theta through the origin and the unit circle of radius 1

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1each point ON the unit circle of radius 1 centered at the origin, is (x , y) = ( cos(angle), sin(angle) )

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1These may help, solved probs and stuff https://drive.google.com/folderview?id=0B1YZD9uzvB5TfnkzNzg5LU54VC1zUENBNHZoWlUxYXk1OXQtNklXdVVtZnA1T3c4X3hMMWM&usp=drive_web#list

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1oh forgot, here is a cheat sheet thing,
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