Trigonometry & Inverse Trigonometry
Inverse Trigonometric Functions
Grade 12
Question:
<p>The set of values of <i>x</i>, satisfying the equation \(\tan^2(\sin^{-1} x) > \frac{1}{2}\)</p>
<p>(a) \([-1,1]\)</p>
<p>(b) \([-1,1] - \{-\frac{1}{2}, \frac{1}{2}\}\)</p>
<p>(c) \((-1, 1) - \{-\frac{1}{2}, \frac{1}{2}\}\)</p>
<p>(d) \([-1,1] - \{-\frac{1}{2}, \frac{1}{2}\}\)</p>
Step-by-Step Solution
Key Concept: Solve the inequality by converting $\tan(\sin^{-1} x)$ to algebraic form and finding the domain constraints.
<p>No solution provided in source text</p>
Correct Answer: C