Answers edited by Christian S.

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