Answers edited by Christian S.

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• How do you simplify `cotB + (sinB / (1+cosB))`?
  
• How do you simplify `(1+tan^2x)/(1+cot^2x)`?
  
• How/Why do you get the solutions to a trigonometry equation with multiple angles?
  
• How do you simplify `arctan (tan 3pi/4)`?
  
• How do you verify `csc^2(theta)(1-cos^2(theta))=1`?
  
• How do you find Tan^-1(-1) without a calculator?
  
• How do you do simplify `cos [sec ^-1 (-5)]`?