SOLUTION: Simplify: {{{((1+Sinx)/Cosx) + (Cosx/(1+Sinx))}}}

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify: {{{((1+Sinx)/Cosx) + (Cosx/(1+Sinx))}}}      Log On


   

Question 311165: Simplify:
%28%281%2BSinx%29%2FCosx%29+%2B+%28Cosx%2F%281%2BSinx%29%29
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28%281%2BSinx%29%2FCosx%29+%2B+%28Cosx%2F%281%2BSinx%29%29
Get the LCD of Cosx%281%2BSinx%29



%281%2B2sinx%2BSin%5E2x+%2B+Cos%5E2x%29%2F%28Cosx%281%2BSinx%29%29+
Use the identity Sin%5E2x+%2B+Cos%5E2x+=+1
%281%2B2sinx%2B1%29%2F%28Cosx%281%2BSinx%29%29+
%282%2B2sinx%29%2F%28Cosx%281%2BSinx%29%29+
%282%281%2Bsinx%29%29%2F%28Cosx%281%2BSinx%29%29+
%282%28cross%281%2Bsinx%29%29%29%2F%28Cosx%28cross%281%2BSinx%29%29%29+
2%2FCosx
2%281%2FCosx%29
2Secx
Edwin