Assignment -1
Grade Class 12
Question:
<p>The principal value of <span class="math-tex">\(\sin ^{-1}\left(\sin \left(-\frac{10 \pi}{3}\right)\right)\)</span> is:</p>
<p style="display:inline"><span class="math-tex">\(\frac{2 \pi}{3}\)</span></p>
<p style="display:inline"><span class="math-tex">\(-\frac{2 \pi}{3}\)</span></p>
<p style="display:inline"><span class="math-tex">\(-\frac{\pi}{3}\)</span></p>
<p style="display:inline"><span class="math-tex">\(\frac{\pi}{3}\)</span></p>
Step-by-Step Solution
Key Concept: Reduce the given angle to the principal value interval of [-π/2, π/2] by utilizing the periodic and symmetric properties of the sine function.
<p><span class="math-tex">$\frac{\pi}{3}$</span></p>
Correct Answer: D