Question

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

Answer 1

1. tan(-x) = -tan(x) (from drawing)


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