Evaluate w/o using a calulator! tan (-3 pi/4) Show work or explain it please! Thanks

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Evaluate w/o using a calulator! tan (-3 pi/4) Show work or explain it please! Thanks

Mathematics
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1. tan(-x) = -tan(x) (from drawing) |dw:1334266709849:dw| therefore tan(-3pi/4) = -tan(3pi/4) 2. convert to degrees to make things simpler 3pi/4 radians =135 degrees 3. tan(180 - x) = -tan(x) so -tan(135) = -(-tan(45)) 4. tan(45) =1 so -(-tan(45)) = -(-1) = 1
Thank you so much! Very informative! Can you help with sec (11 pi/6)?
is the answer (2 sqrt3/3)?

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