Questions asked by CM2607

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• How do I prove this trigonometric identity?
  
• How do I solve #sec(3x)-sqrt2 = 0# algebraically?
  
• How do I prove #sec^2x/(2+tan^2x) = 1/(1+cos^2x)#?
  
• How do you prove #sin y cot y csc^2 y = cos y + cosy cot^2y?#
  
• How do I prove this identity? #(cosxcotx-tanx)/cscx=cosx/secx-sinx/cotx#
  
• How do I solve #cot^2 theta +sqrt3 cot theta = 0#?
  
• How do I solve #sqrt3 tan3theta + 1 = 0#?
  
• Given 4 points on a circle, how many ways can two points be connected, using permutations / combinations to solve?
  
• Consider a standard deck of 52 cards. How many 5 card hands have 2 pairs in them?
  
• How to prove #sin^6x+cos^6x=1-3sin^2xcos^2x#?
  
• Solve #(n!)/(8!(n-8)!) = (n!)/(16!(n-16)!)# algebraically?
  
• Out of curiousity, what type of function would this be?