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.

Question

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.

jdoe0001 · Answer

$\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 · Answer

Mg I know you from my school :/

anonymous · Answer

@carsonce I'm kinda homeschooled so...

danjs · Answer

Draw the thing first

danjs · Answer

'standard' - relative to the +x axis i believe

danjs · Answer

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danjs · Answer

4th quadrant

danjs · Answer

You see how the components of that line are at right angles to the x and y axis?

danjs · Answer

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