Questions asked by HAL 9000

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• How do you solve #6cos^2(x)+7cos(x)+2=0# in the interval [0,360) ??
  
• What are the solutions for #sec^2x+6tanx=6# in the interval [0,2pi) ??
  
• How can I know that the inverses of trig functions are actually not functions at all?
  
• Find solutions in decimal form rounding to the nearest thousandth for #sec^2x+4tanx=2# in the interval [0,2pi) ?
  
• Use double-angle or half-angle formula to simplify #(2-csc^2(x))/(csc^2(x))# ?
  
• Use a product-to-sum identity to rewrite the expression cos 40° cos 20° ?
  
• How to prove this identity?
  
• A pole leans away from the sun at an angle of 9° to the vertical. When the elevation of the sun is 49°, the pole casts a shadow 43 ft long on level ground. How long is the pole?
  
• Solving this triangle using appropriate Law of Sine?
  
• I need help with vectors?
  
• Magnitude and vectors?
  
• Which Law of Sines applies to this?
  
• How far did the skater skate from point A to B?
  
• Calculation of vector?
  
• Magnitude and angle made with larger force?
  
• Finding slope of line containing two points?
  
• Write an equation in standard form that has a slope of 0 and goes through the point (5,2) ?
  
• Solving equation?
  
• Graph the function? Thank you
  
• Factor and simplify please?
  
• Simplify please?
  
• Prove the identity?
  
• Solving this triangle?
  
• Solving this triangle?
  
• 2x^2=-4x-1 using quadratic formula?
  
• An airplane travels at 125 km/hr...?
  
• Given the central angle of the wedge on a pie graph, how do I find the percentage?
  
• Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are at least 59? Please do not round your answer.
  
• Central limit theorem?
  
• Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a jack and then, without replacement, another jack?
  
• Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a queen for the second card drawn, if the first card, drawn without replacement, was a king?
  
• Combinations and permutations?
  
• In 2004, China spent $57.5 billion on defense, representing 4% of the world's total military spending. Now it spends far more. How might China's rapid increase in military spending impact its relations with the United States?