Trigonometric Equations
Trigonometric Equations When we solve an equation such as we must be sure to include  all  possible solutions. It may very be the case that we disregard most of these, but it is important to know what they are. Steps for Solving a Trigonometric Equation: Isolate the trig. function Use an inverse trig. function to find one solution. Use the unit circle to find a second solution (usually). Use the periodicity of the function to state the  general solution  to the equation.
For example: Isolate the trig. function. Use an inverse trig. Function to find the first solution. Use the unit circle to find a second solution. Use the periodicity of the function to state the general solution.
Try these:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

1.17.08 General Trig Equations

  • 1.
  • 2.
    Trigonometric Equations Whenwe solve an equation such as we must be sure to include all possible solutions. It may very be the case that we disregard most of these, but it is important to know what they are. Steps for Solving a Trigonometric Equation: Isolate the trig. function Use an inverse trig. function to find one solution. Use the unit circle to find a second solution (usually). Use the periodicity of the function to state the general solution to the equation.
  • 3.
    For example: Isolatethe trig. function. Use an inverse trig. Function to find the first solution. Use the unit circle to find a second solution. Use the periodicity of the function to state the general solution.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41.
  • 42.
  • 43.
  • 44.
  • 45.
  • 46.
  • 47.
  • 48.
  • 49.
  • 50.
  • 51.
  • 52.
  • 53.
  • 54.
  • 55.
  • 56.
  • 57.
  • 58.
  • 59.
  • 60.
  • 61.
  • 62.
  • 63.
  • 64.
  • 65.