SOLUTION: For each of the following, find all solutions. The variable n denotes a generic integer. 1)2 cos(x) + 1 = 0 2)(cos(x) - 1)(sin(x) + 1) = 0 3)sec2(x) - 4 = 0

Algebra ->  Trigonometry-basics -> SOLUTION: For each of the following, find all solutions. The variable n denotes a generic integer. 1)2 cos(x) + 1 = 0 2)(cos(x) - 1)(sin(x) + 1) = 0 3)sec2(x) - 4 = 0      Log On


   

Question 948378: For each of the following, find all solutions. The variable n denotes a generic integer.
1)2 cos(x) + 1 = 0
2)(cos(x) - 1)(sin(x) + 1) = 0
3)sec2(x) - 4 = 0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For each of the following, find all solutions. The variable n denotes a generic integer.
1)2 cos(x) + 1 = 0
cos(x) = -1/2
x = (2/3)pi ; x = (4/3)pi
---------------------------------
2)(cos(x) - 1)(sin(x) + 1) = 0
graph%28400%2C400%2C-6%2C6%2C-2%2C2%2C%28cos%28x%29-1%29%28sin%28x%29%2B1%29%29
---------------------
3)sec^2(x) - 4 = 0
(sec-2)(sec+2) = 0
sec(x) = 2 or sec(x) = -2
-----
x = pi/3 or (5/6)pi or x = (2/3)pi or (4/3)pi
===============
Cheers,
Stan H.
--------------