If sin(θ) = 0, what are the possible values of θ?
Correct Answer: 0° and 180°
- Step 1: Understand that sin(θ) represents the sine of an angle θ.
- Step 2: Recall that the sine function equals 0 at specific angles.
- Step 3: Identify the angles where sin(θ) = 0. These angles are 0° and 180°.
- Step 4: Remember that sine is periodic, meaning it repeats its values. So, sin(θ) = 0 also occurs at 360° and 540°, etc.
- Step 5: Conclude that the general solutions for sin(θ) = 0 are θ = n * 180°, where n is any integer (0, 1, 2, -1, -2, etc.).
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