Questions asked by Nicole C.

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• How do you solve #sin(105^@)=sin(60^@+45^@)#?
  
• What are the solutions to 2cos^2x=cosx on the interval [0,2pi)?
  
• How to you simplify cotx+tanx?
  
• What are the solutions to the equation sin^2x+cosx=-1 on the interval 0 ≤ x < 2pi?
  
• What are the solutions to sin^2β - sinβ - 2=0 on the interval 0° ≤ β ≤ 360°?
  
• How do you solve the equation log(3+x)-log(x-5)=log(2)?
  
• How do you solve the equation In9x=1?
  
• How do you solve the equation log(x)+log(x-8)=log9?
  
• The second term of a geometric sequence is -18 and the fifth term is 2/3. What is the sixth term?
  
• The eighth term of an arithmetic sequence is 25, and the 12th term is 41. What is the 51st term?
  
• What are the first five terms of the sequence defined by a1=2 and r=10?
  
• What is an explicitly-defined equation for the sequence with #a_1#=4, #a_2#=8, #a_3=12#?
  
• How do you use a sigma notation to write an equation for the series: 1/2+2/3+3/4+4/5+...+7/8?