Trigonometry & Inverse Trigonometry
Extrema of Trigonometric Functions
Grade 11
Question:
<p>The minimum value of <span class="math">\(\sin^4 a + \sin^4 b + \sin^4 g\)</span>, where <span class="math">\(a, b, g\)</span> are real positive angles satisfying <span class="math">\(a + b + g = \pi\)</span>, is</p>
<p>(a) positive</p>
<p>(b) negative</p>
<p>(c) 0</p>
<p>(d) –3</p>
Step-by-Step Solution
Key Concept: Apply calculus or inequality techniques to find the minimum of a sum of fourth powers under a constraint on positive angles.
<p>Not provided in source material</p>
Correct Answer: a