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

1 Answer
Nghi N.
Sep 22, 2015

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#.
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