SOLUTION: verify tan theta/2, given tan theta=root 7/3 and theta is in Quadrant 3.

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Question 865334: verify tan theta/2, given tan theta=root 7/3 and theta is in Quadrant 3.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
verify tan theta/2,
given tan theta=root 7/3 and theta is in Quadrant 3.
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In QIII::
y = -sqrt(7) ; x = -3
r = sqrt[7+3^2] = 4
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cos(t) = x/r = -3/4
sin(t) = -sqrt(7)/4
tan(t/2) = sin(t/2)/cos(t/2) = [-sqrt(7)]/(-3) = (1/3)sqrt(7)
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Cheers,
Stan H.
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