Question:
\( 8 \cos^4 x - 8 \cos^2 x + 1 \) is equal to
\( 8 \cos^4 x - 8 \cos^2 x + 1 \) is equal to
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Use standard trigonometric identities to simplify higher powers of trigonometric functions.
Updated On: Dec 11, 2025
- \( \cos 4x \)
- \( \sin 4x \)
- \( \cos 2x - \sin 4x \)
- \( \cos 2x + \sin 4x \)
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The Correct Option is A
Solution and Explanation
Using the trigonometric identity for \( \cos^2 x \), we simplify:
\[
8 \cos^4 x - 8 \cos^2 x + 1 = \cos 4x
\]
Thus, the correct answer is \( \cos 4x \).
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