Question:
Equation \( \frac{1}{8} \sin^3 x = \cos 6x \) represents
Equation \( \frac{1}{8} \sin^3 x = \cos 6x \) represents
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Equations involving sine and cosine functions with cubic powers often represent conic sections such as hyperbolas.
Updated On: Jan 12, 2026
- A rectangular hyperbola
- A hyperbola
- An ellipse
- A parabola
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The Correct Option is A
Solution and Explanation
Step 1: Analyze the equation form.
The given equation has a form similar to that of a rectangular hyperbola.
Step 2: Conclusion.
Thus, the equation represents a rectangular hyperbola.
Final Answer: \[ \boxed{\text{A rectangular hyperbola}} \]
The given equation has a form similar to that of a rectangular hyperbola.
Step 2: Conclusion.
Thus, the equation represents a rectangular hyperbola.
Final Answer: \[ \boxed{\text{A rectangular hyperbola}} \]
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