You can put this solution on YOUR website! tan(-3pi/4)
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This is how you do it.
1st: sketch the angle in the 3rd quadrant.
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2nd: note that the reference angle is (pi/4)
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3rd: Since tan is positive in QIII, tan(-3pi/4) = tan(pi/4)
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4th: You should know tan(pi/4) = 1
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Cheers,
Stan H.