SOLUTION: What are the x's of: sec^2(x)+tan(x)-1

Algebra ->  Trigonometry-basics -> SOLUTION: What are the x's of: sec^2(x)+tan(x)-1      Log On


   

Question 750782: What are the x's of: sec^2(x)+tan(x)-1
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming you mean solve the equation
%0D%0Asec%5E2%28x%29%2Btan%28x%29-1=0%0D%0A

here goes...

%0D%0Asec%5E2%28x%29-1%2Btan%28x%29=0%0D%0A



%0D%0Atan%5E2%28x%29%2Btan%28x%29=0%0D%0A



%0D%0Atan%28x%29%281%2Btan%28x%29%29=0%0D%0A

which leads to

%0D%0Atan%28x%29=0%0D%0A

and so
x=n%2Api

or

%0D%0Atan%28x%29=-1%0D%0A

which leads to

%0D%0Ax=%28-pi%29%2F4%2Bn%2Api%0D%0A

:)