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Determine the values of x that satisfy the equation sin(2x) = 0.
Determine the values of x that satisfy the equation sin(2x) = 0.
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Practice Questions
1 question
Q1
Determine the values of x that satisfy the equation sin(2x) = 0.
x = nπ/2
x = nπ
x = nπ/4
x = nπ/3
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The solutions are x = nπ/2, where n is any integer.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the values of x that satisfy the equation sin(2x) = 0.
Solution:
The solutions are x = nπ/2, where n is any integer.
Steps: 5
Show Steps
Step 1: Understand the equation sin(2x) = 0. This means we need to find the angles where the sine function equals zero.
Step 2: Recall that the sine function equals zero at integer multiples of π. Specifically, sin(θ) = 0 when θ = nπ, where n is any integer.
Step 3: Since we have sin(2x) = 0, we set 2x equal to nπ: 2x = nπ.
Step 4: To solve for x, divide both sides of the equation by 2: x = nπ/2.
Step 5: The final solution is x = nπ/2, where n can be any integer (like 0, 1, -1, 2, -2, etc.).
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