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Find the values of x that satisfy the equation 3sin(x) - 1 = 0.
Find the values of x that satisfy the equation 3sin(x) - 1 = 0.
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Practice Questions
1 question
Q1
Find the values of x that satisfy the equation 3sin(x) - 1 = 0.
π/6
5π/6
7π/6
11π/6
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Rearranging gives sin(x) = 1/3, which has solutions in the specified interval.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the values of x that satisfy the equation 3sin(x) - 1 = 0.
Solution:
Rearranging gives sin(x) = 1/3, which has solutions in the specified interval.
Steps: 7
Show Steps
Step 1: Start with the equation 3sin(x) - 1 = 0.
Step 2: Add 1 to both sides of the equation to isolate the term with sin(x).
Step 3: The equation now looks like 3sin(x) = 1.
Step 4: Divide both sides by 3 to solve for sin(x).
Step 5: Now the equation is sin(x) = 1/3.
Step 6: Use the inverse sine function (arcsin) to find the angle x that satisfies this equation.
Step 7: Remember that sine is positive in the first and second quadrants, so find both solutions in the specified interval.
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