Question

How do I find the value of tan (3Pi/4)?

Answer 1

Find `tan ((3pi)/4)`

Ans: -1

Explanation:

You may find tan ((3pi)/4) by 2 ways.
1. By the Trig Table (of Special Arcs)
Trig Table gives -->`tan ((3pi)/4) = -1`
2. By the trig unit circle.
`tan ((3pi)/4) = - tan (pi)/4`
On the trig unit circle, the segment `AT = tan ((pi)/4)`
The triangle OAT is isosceles, `tan (pi/4) = AT = OA = 1` . Therefor
`tan ((3pi)/4) = - tan (pi/4) = - 1`.