Questions asked by J'Neal

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• How do you find all solutions of #2cos^2(θ)-1=0# to be #pi/4 +kpi# and #3pi/4 + kpi#? I keep getting #2kpi# instead of #kpi#
  
• How do you graph #y=15e^(-.25t)cos(1.2pit)#?
  
• Let #z_1=2[cos(pi/6)+isin(pi/6)]# How do you find #1/z_1? #
  
• How do you simplify the following expression to a single trigonometric function? #sinx/(1-cosx) -cscx#
  
• In terms of x and y only, how would you write the following expression? #sin(tan^-1 x+cos^-1 y)#
  
• Using De Moivre's Theorem, What is the indicated power of #(-sqrt2 -sqrt2 i)^5#?
  
• How do you use De Moivre's Theorem to simplify #z=(2[cos(5pi/4)+isin(5pi/4)])^5# to #16sqrt2 + 16sqrt2 i#?
  
• The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a speed of 30 mi/h. In what direction should the airplane head in order to arrive at a point due west of it's location?
  
• Is there a possible rule for the nth term of the sequence: 1, 5, 5, 5,•••,5?
  
• Is there an nth term for the sequence 1, 5, 10, 15, 20, 25?
  
• Is there a possible rule for the nth term of the sequence: 1, n, n, n, n,···,n?
  
• Is this sequence arithmetic or geometric?