At 150 degrees, what is the amplitude of a...

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Question 1 of 20UiRp5wwATiNgWvPWNKSY

At 150 degrees, what is the amplitude of a sine-wave having a peak value of 5 volts?

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Question 1 of 20

UiRp5wwATiNgWvPWNKSY

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At 150 degrees, what is the amplitude of a sine-wave having a peak value of 5 volts?

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🔍 Key Concepts

• Sine function values at key angles (0°, 30°, 45°, 60°, 90°, and related angles in other quadrants) • Relationship between peak value and instantaneous value: ( v = V_{peak} \cdot \sin(\theta) ) • Signs of sine in different quadrants of the unit circle (I, II, III, IV)

💭 Think About

• First determine which quadrant 150° is in and whether sine is positive or negative there. • Think of 150° in terms of its related acute angle (e.g., 180° - ?). What is the sine of that related angle? • Once you know (\sin(150°)), multiply it by the peak value (5 volts) to find the instantaneous voltage.

✅ Before You Answer

• Confirm whether 150° is in a quadrant where sine is positive or negative. • Verify the exact value of (\sin(150°)) using its reference angle. • After multiplying by 5 volts, check which option matches both the magnitude and the sign of your result.

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Question 1 of 20UiRp5wwATiNgWvPWNKSY

At 150 degrees, what is the amplitude of a sine-wave having a peak value of 5 volts?

Back

Question 1 of 20

UiRp5wwATiNgWvPWNKSY

Q

At 150 degrees, what is the amplitude of a sine-wave having a peak value of 5 volts?

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

• Sine function values at key angles (0°, 30°, 45°, 60°, 90°, and related angles in other quadrants) • Relationship between peak value and instantaneous value: ( v = V_{peak} \cdot \sin(\theta) ) • Signs of sine in different quadrants of the unit circle (I, II, III, IV)

💭 Think About

• First determine which quadrant 150° is in and whether sine is positive or negative there. • Think of 150° in terms of its related acute angle (e.g., 180° - ?). What is the sine of that related angle? • Once you know (\sin(150°)), multiply it by the peak value (5 volts) to find the instantaneous voltage.

✅ Before You Answer

• Confirm whether 150° is in a quadrant where sine is positive or negative. • Verify the exact value of (\sin(150°)) using its reference angle. • After multiplying by 5 volts, check which option matches both the magnitude and the sign of your result.

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed