Trigonometry & Inverse Trigonometry
Trigonometric Identities
Grade 11
Question:
<p>The value of <span>\((\cos^4 1° + \cos^4 2° + \cos^4 3° + \ldots + \cos^4 179°) - (\sin^4 1° + \sin^4 2° + \sin^4 3° + \ldots + \sin^4 179°)\)</span> equals</p>
<p>(a) <span>\(2\cos 1°\)</span></p>
<p>(b) -1</p>
<p>(c) <span>\(2\sin 1°\)</span></p>
<p>(d) 0</p>
Step-by-Step Solution
Key Concept: Use the complementary angle relationship: <span>\(\sin(180° - k) = \sin k\)</span> and <span>\(\cos(180° - k) = -\cos k\)</span> to pair terms.
<p>Solution not provided in the text.</p>
Correct Answer: D