SOLUTION: if sec theta= -3/2, then csc= (3pi/2 + theta) is

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Question 765491: if sec theta= -3/2, then csc= (3pi/2 + theta) is

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if sec theta= -3/2, then csc(3pi/2 + theta) is
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cos(theta) = -2/3
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sin(theta) = sqrt(5)/3
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csc((3/2)pi + theta) = 1/[sin(3/2 pi)*cos(theta) + (cos(3/2 pi)*sin(theta)]
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= 1/[(-1)(-2/3) +(0)(sqrt(5)/2)]
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= 1/[(2/3)
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= 3/2
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Cheers,
Stan H.
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