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If x = sin^(-1)(-1), then the value of x is:

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Question: If x = sin^(-1)(-1), then the value of x is:

Options:

  1. -Ï€/2
  2. π/2
  3. 0
  4. π

Correct Answer: -Ï€/2

Solution: 

sin^(-1)(-1) corresponds to the angle -Ï€/2.

If x = sin^(-1)(-1), then the value of x is:

Practice Questions

Q1
If x = sin^(-1)(-1), then the value of x is:
  1. -Ï€/2
  2. π/2
  3. 0
  4. π

Questions & Step-by-Step Solutions

If x = sin^(-1)(-1), then the value of x is:
  • Step 1: Understand that sin^(-1)(-1) means we are looking for an angle whose sine value is -1.
  • Step 2: Recall that the sine function reaches -1 at the angle -Ï€/2 (which is -90 degrees).
  • Step 3: Therefore, we can conclude that sin^(-1)(-1) = -Ï€/2.
  • Step 4: Thus, the value of x is -Ï€/2.
  • Inverse Trigonometric Functions – Understanding the range and values of inverse sine functions, particularly for negative inputs.
  • Angle Measurement – Knowledge of angle values in radians, especially for common angles like -Ï€/2.
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