Assignment -1
Grade Class 12
Question:
<p>The value of sin (2 sin<sup>–1</sup> (0.6)) is</p>
<p style="display:inline">sin 1.2</p>
<p style="display:inline">0.48</p>
<p style="display:inline">0.96</p>
<p style="display:inline">1.2</p>
Step-by-Step Solution
Key Concept: Use the substitution sin⁻¹(x) = θ to transform the expression into the double-angle identity sin(2θ) = 2sinθcosθ.
<p>Let sin<sup>–1</sup> (0.6) = <span class="math-tex">$\theta$</span>, i.e, sin <span class="math-tex">$\theta$</span> =0.6<br />
Now, sin (2<span class="math-tex">$\theta$</span>) = 2 sin<span class="math-tex">$\theta$</span> cos<span class="math-tex">$\theta$</span> = 2 (0.6) (0.8) = 0.96</p>
Correct Answer: C