SOLUTION: Find all solutions of the equation in the interval [0, 2pi) Sec(x-pi/8)+2=0

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions of the equation in the interval [0, 2pi) Sec(x-pi/8)+2=0      Log On


   

Question 707568: Find all solutions of the equation in the interval [0, 2pi)
Sec(x-pi/8)+2=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all solutions of the equation in the interval [0, 2pi)
Sec(x-pi/8)+2=0
**
Sec(x-π/8)+2=0
Sec(x-π/8)=-2
cos(x-π/8)=-1/2
x-π/8=2π/3 and 4π/3 (in quadrants II and III where cos<0
..
x-π/8=2π/3
x=2π/3+π/8
x=16π/24+3π/24
x=19π/24
and
x-π/8=4π/3
x=4π/3+π/8
x=32π/24+3π/24
x=35π/24