Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $$\begin{array} { l } x = 2 \sin 3 \theta \\y = 2 \cos 3 \theta\end{array}$$

question 77

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. $$\begin{array} { l } x = 2 \sin 3 \theta \\y = 2 \cos 3 \theta\end{array}$$

• A)\(y = \frac { x } { 3 }\)
• B) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 4 } = 1\)
• C) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 4 } = 1\)
• D) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 3 } = 0\)
• E) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 3 } = 1\)

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Definitions:

Factorial

A mathematical operation that involves multiplying a number by every number less than it down to 1; e.g., the factorial of 5 (denoted as 5!) is 120.

Activation Records

Structures that contain information about the execution state of a function or procedure at a certain point in time, typically maintained in the call stack.

Recursion

A programming technique where a method calls itself to solve a problem.

Binary Search Algorithm

An efficient algorithm for finding an item from a sorted list of items, working by repeatedly dividing in half the search interval and comparing the middle item to the target value.