When pi/2<theta<3pi/4, which of the following could possibly be tan theta.
a. -8
b. -1/8
c. 0
d. 1/8
e. 8
4 answers
in the second quadrant, tan is negative, and in the third quadrant, tan is positive. What is tan PI?
a. -8
If you look at a graph of y = tan theta, you will see why.
If you look at a graph of y = tan theta, you will see why.
Table:
Theta......tan theta
....0...............0.......
..pi/4.............1.......
->pi/2-......->+inf...
->pi/2+......->-inf....
.3pi/4............-1......
....pi...............0......
And so on.
Theta......tan theta
....0...............0.......
..pi/4.............1.......
->pi/2-......->+inf...
->pi/2+......->-inf....
.3pi/4............-1......
....pi...............0......
And so on.
Max is right, I read 3/4 PI as 270 degrees, which it is not.
http://intmstat.com/trigonometric-graphs/cotx.gif
http://intmstat.com/trigonometric-graphs/cotx.gif