Question 659467: Find all solutions of the equation in the interval
[0, 2π).
(If there is no solution, enter NO SOLUTION.)
4 sec x csc x = 8 csc x
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find all solutions of the equation in the interval
[0, 2π).
(If there is no solution, enter NO SOLUTION.)
4 sec x csc x = 8 csc x
-----
4sec(x)csc(x)-8csc(x) = 0
Factor:
4csc(x)[sec(x)-2] = 0
------
csc(x) = 0 or sec(x) = 2
--------
csc(x) never equals zero
----
If sec(x) = 2, x = pi/3 or x = (5/3)pi
=============================
Cheers,
Stan H.
|
|
|
