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Solve the equation 3sin(x) - 4 = 0 for x in the interval [0, 2π].

Practice Questions

Q1
Solve the equation 3sin(x) - 4 = 0 for x in the interval [0, 2π].
  1. π/6
  2. π/3
  3. 2π/3
  4. 5π/6

Questions & Step-by-Step Solutions

Solve the equation 3sin(x) - 4 = 0 for x in the interval [0, 2π].
  • Step 1: Start with the equation 3sin(x) - 4 = 0.
  • Step 2: Add 4 to both sides of the equation to isolate the sine term: 3sin(x) = 4.
  • Step 3: Divide both sides by 3 to solve for sin(x): sin(x) = 4/3.
  • Step 4: Notice that sin(x) cannot be greater than 1. Since 4/3 is greater than 1, there are no solutions for x in the interval [0, 2π].
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