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The value of sin^(-1)(-1) is:

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Question: The value of sin^(-1)(-1) is:

Options:

  1. -Ï€/2
  2. 0
  3. π/2
  4. π

Correct Answer: -Ï€/2

Solution: 

sin^(-1)(-1) corresponds to the angle whose sine is -1, which is -Ï€/2.

The value of sin^(-1)(-1) is:

Practice Questions

Q1
The value of sin^(-1)(-1) is:
  1. -Ï€/2
  2. 0
  3. π/2
  4. π

Questions & Step-by-Step Solutions

The value of sin^(-1)(-1) is:
  • Step 1: Understand what sin^(-1)(-1) means. It is asking for the angle whose sine value is -1.
  • Step 2: Recall the sine function. The sine of an angle gives the y-coordinate of a point on the unit circle.
  • Step 3: Identify the angle where the sine value is -1. This occurs at -Ï€/2 radians (or -90 degrees).
  • Step 4: Conclude that sin^(-1)(-1) equals -Ï€/2.
  • Inverse Trigonometric Functions – Understanding the function sin^(-1)(x) and its range, particularly for negative values.
  • Unit Circle – Knowledge of the unit circle and the angles corresponding to specific sine values.
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