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

Algebra ->  Trigonometry-basics -> 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      Log On


   



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 +2y-4x=0+
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) About Me  (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+
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2y-4x = 0
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y = 2x
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Points for QIII:
(0,0) and (-1,-2)
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x = -2 ; y = -1
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Solve for "r":
r = sqrt[2^2+1^2] = sqrt(5)
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sin = y/r = -1/sqrt(5) = -sqrt(5)/5
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cos = x/r = -2/sqrt(5) = -2sqrt(5)/5
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tan = y/x = 1/2
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Cheers,
Stan H.
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