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Solve the equation 3sin(x) - 4 = 0 for x in the interval [0, 2π].
Solve the equation 3sin(x) - 4 = 0 for x in the interval [0, 2π].
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Practice Questions
1 question
Q1
Solve the equation 3sin(x) - 4 = 0 for x in the interval [0, 2π].
π/6
π/3
2π/3
5π/6
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The solution is x = π/3.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the equation 3sin(x) - 4 = 0 for x in the interval [0, 2π].
Solution:
The solution is x = π/3.
Steps: 4
Show Steps
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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