Question 562197: Find all values of x in the interval [0, 2π] that satisfy the inequality.
−9 < 9 tan(x) < 9
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find all values of x in the interval [0, 2π] that satisfy the inequality.
−9 < 9 tan(x) < 9
−1 < tan(x) < 1
tan(x) > -1
tan(x) < 1
..
Intervals in which x-values (radians) satisfy the inequality:
for tan(x) < 1
[0, π/4) and [π, 5π/4) (quadrants I and III where tan>0)
..
for tan(x) > -1
(3π/4,π] and (7π/4,2π] (quadrants II and IV where tan<0)
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