SOLUTION: Hi, Im stuck on this problem. The directions are: "The terminal side of an angle of t radians lies in the given quadrant on the given line. Find sin t, cos t, and tan t. " The act

Question 747509: Hi, Im stuck on this problem. The directions are: "The terminal side of an angle of t radians lies in the given quadrant on the given line. Find sin t, cos t, and tan t. "
The actual problem is : quadrant 3; line
My first thought was to graph the line and then find a point on the terminal ray and thought I could build from that. Turns out that I have no clue how to even do that. Could you help me solve this problem?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
"The terminal side of an angle of t radians lies in the given quadrant on the given line. Find sin t, cos t, and tan t. "
The actual problem is : quadrant 3; line
--------
2y-4x = 0
------
y = 2x
-----
Points for QIII:
(0,0) and (-1,-2)
---
x = -2 ; y = -1
---
Solve for "r":
r = sqrt[2^2+1^2] = sqrt(5)
-------
sin = y/r = -1/sqrt(5) = -sqrt(5)/5
----
cos = x/r = -2/sqrt(5) = -2sqrt(5)/5
----
tan = y/x = 1/2
====================
Cheers,
Stan H.
====================

RELATED QUESTIONS
I cant seem to figure this problem out. Any help would be greatly appreciated. Ok here it (answered by josmiceli)

Determine the quadrant in which the terminal side of an angle of 6pie/5... (answered by Alan3354)

The terminal side of theta, an angle in standard position, is in Quadrant II and lies on... (answered by stanbon)

The terminal side of angle theta in standard position lies on the given line in the given (answered by jsmallt9)

The terminal side of theta lies on the line 8x+6y=0 in quadrant IV. Find theta in... (answered by stanbon)

Find the value of the trigonometric function sin (t) if sec t=-4/3 and the terminal side... (answered by Alan3354)

Find the value of csc for angle in standard position if the point at (3, �1) lies on... (answered by solver91311)

For the given angle, name the quadrant in which the terminal side lies.... (answered by lwsshak3)

If A is an angle in standard position and satisfies the conditions: the terminal side of... (answered by dolly)