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If sin(θ) = 0, what are the possible values of θ?
If sin(θ) = 0, what are the possible values of θ?
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Practice Questions
1 question
Q1
If sin(θ) = 0, what are the possible values of θ?
0°, 180°
90°, 270°
45°, 135°
30°, 150°
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sin(θ) = 0 at θ = 0° and 180°.
Questions & Step-by-step Solutions
1 item
Q
Q: If sin(θ) = 0, what are the possible values of θ?
Solution:
sin(θ) = 0 at θ = 0° and 180°.
Steps: 5
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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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