Trigonometry & Inverse Trigonometry
Extrema of Trigonometric Functions
Grade 11
Question:
<p>The maximum value of <span class="math">\(4\sin^2 x + 3\cos^2 x + \sin\left(\frac{x}{2}\right) + \cos\left(\frac{x}{2}\right)\)</span> is</p>
<p>(a) <span class="math">\(4 + \sqrt{2}\)</span></p>
Step-by-Step Solution
Key Concept: Rewrite the expression using sin²x + cos²x = 1, then find the maximum of the resulting function.
<p>Not provided in source material</p>
Correct Answer: a