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Solving trigonometric equations I: basic equations and general solutions — Homework

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Solving trigonometric equations I: basic equations and general solutions — Homework

Isolate the trig function completely first, then use the unit circle to find every solution in the interval.

  1. 1.Solve 2cos(x)+1=0 for x in [0,2pi).
  2. 2.Solve tan(x)=1 for x in [0,2pi).
  3. 3.Write the general solution for sin(x)=-1/2.
  4. 4.Solve sqrt(3)*tan(x)-1=0 for x in [0,2pi).
  5. 5.Explain why sin(x)=-1/2 has two solution families rather than infinitely many unrelated solutions.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 25 homework