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If sin(x) = 0, what is the value of x?
If sin(x) = 0, what is the value of x?
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Practice Questions
1 question
Q1
If sin(x) = 0, what is the value of x?
0
π
2π
All of the above
Show Solution
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sin(x) = 0 at x = nπ, where n is any integer, hence all of the above.
Questions & Step-by-step Solutions
1 item
Q
Q: If sin(x) = 0, what is the value of x?
Solution:
sin(x) = 0 at x = nπ, where n is any integer, hence all of the above.
Steps: 5
Show Steps
Step 1: Understand that sin(x) is a trigonometric function that gives the sine of an angle x.
Step 2: Know that sin(x) equals 0 at specific points on the unit circle.
Step 3: Identify the angles where sin(x) = 0. These angles occur at 0, π, 2π, -π, -2π, etc.
Step 4: Recognize that these angles can be expressed as nπ, where n is any integer (like 0, 1, -1, 2, -2, etc.).
Step 5: Conclude that the general solution for sin(x) = 0 is x = nπ.
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