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If sin(θ) = 1, what is the value of θ? (2023)

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Question: If sin(θ) = 1, what is the value of θ? (2023)

Options:

  1. 0°
  2. 90°
  3. 180°
  4. 270°

Correct Answer: 90°

Solution: 

sin(90°) = 1, so θ = 90°.

If sin(θ) = 1, what is the value of θ? (2023)

Practice Questions

Q1
If sin(θ) = 1, what is the value of θ? (2023)
  1. 0°
  2. 90°
  3. 180°
  4. 270°

Questions & Step-by-Step Solutions

If sin(θ) = 1, what is the value of θ? (2023)
  • Step 1: Understand that sin(θ) represents the sine of an angle θ.
  • Step 2: Recall that the sine function reaches its maximum value of 1 at specific angles.
  • Step 3: Identify that sin(90°) = 1.
  • Step 4: Conclude that if sin(θ) = 1, then θ must be 90°.
  • Trigonometric Functions – Understanding the sine function and its values at specific angles.
  • Unit Circle – Knowledge of the unit circle and the angles where sine takes specific values.
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