Trigonometry & Inverse Trigonometry
Trigonometric Evaluation
Grade 11
Question:
<p>12. If the value of \(f\left(\frac{\pi}{3}\right) = a + b\sqrt{c}\) where \(a, b, c \in \mathbb{N}\), then the value of \(a + b + c\) is:</p>
<p>(a) 4</p>
<p>(b) 5</p>
<p>(c) 6</p>
<p>(d) 7</p>
Step-by-Step Solution
Key Concept: Evaluate \(f\left(\frac{\pi}{3}\right)\) using the function definition and express the result in the form \(a + b\sqrt{c}\), then sum the natural number components.
<p>Based on the answer key, the correct answer is (c) 6.</p>
Correct Answer: C