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If x = sin^(-1)(-1), what is the value of x?

Practice Questions

Q1
If x = sin^(-1)(-1), what is the value of x?
  1. -π/2
  2. 0
  3. π/2
  4. π

Questions & Step-by-Step Solutions

If x = sin^(-1)(-1), what is the value of x?
  • Step 1: Understand that sin^(-1)(-1) means we are looking for an angle whose sine value is -1.
  • Step 2: Recall the sine function and its values. The sine of an angle is -1 at specific points.
  • Step 3: Identify the angle where sine equals -1. This occurs at -π/2 (or -90 degrees).
  • Step 4: Conclude that if x = sin^(-1)(-1), then x = -π/2.
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