Evaluating an Inverse Sine Function

00:00 2 marks

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  • SL
  • Tier 2
  • Inverse trigonometric functions
  • Trigonometric equations
  • Principal domain

Evaluate \(x = \arcsin(0.6)\) given that \(0 \leq x \leq \pi\). Explain why this value represents the correct solution in the restricted domain.

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Hint

Consider the range of the \(\arcsin\) function and how it relates to the given domain for \(x\).

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Complete Answer

\(x \approx 0.6435\,\text{radians}\)

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