SOLUTION: Hello. I am having difficulty with this question and I would ask for your help. Solve the following trig equations on the given intervals cosx / (1+sinx) - (1-sinx)/cosx = 2

Algebra ->  Trigonometry-basics -> SOLUTION: Hello. I am having difficulty with this question and I would ask for your help. Solve the following trig equations on the given intervals cosx / (1+sinx) - (1-sinx)/cosx = 2       Log On


   

Question 822875: Hello. I am having difficulty with this question and I would ask for your help.
Solve the following trig equations on the given intervals
cosx / (1+sinx) - (1-sinx)/cosx = 2 and the interval is pi < x < 3pi
Thank you for your time.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following trig equations on the given intervals
cosx / (1+sinx) - (1-sinx)/cosx = 2 and the interval is pi < x < 3pi
***
cos%28x%29%2F%281%2Bsin%28x%29%29-%281-sin%28x%29%29%2Fcos%28x%29=2
..
%28cos%5E2%28x%29-%281-sin%5E2%28x%29%29%29%2Fcos%28x%29%281%2Bsin%28x%29%29=2
..
%28cos%5E2%28x%29-cos%5E2%28x%29%29%2Fcos%28x%29%281%2Bsin%28x%29%29=2
..
2cos%28x%29%281%2Bsin%28x%29%29=0
..
2cos(x)=0
x=π/2,3π/2,5π/2
or
1+sin(x)=0
sin(x)=-1
x=3π/2