Provide an Appropriate Response $x = \cos \frac { 1 } { 4 } t , y = \sin \frac { 1 } { 4 } t , 0 \leq t \leq 4 \pi$

question 52

Multiple Choice

Provide an appropriate response.
-Which of the following pairs of parametric equations will graph a semicircle?

• A) \(x = \cos \frac { 1 } { 4 } t , y = \sin \frac { 1 } { 4 } t , 0 \leq t \leq 4 \pi\)
• B) \(x = \cos \frac { 1 } { 2 } t , y = \sin \frac { 1 } { 2 } t , 0 \leq t \leq \pi\)
• C) \(x = \cos 2 t , y = \sin 2 t , 0 \leq t \leq \pi\)
• D) \(x = \cos t , y = \sin t , 0 \leq t \leq \frac { \pi } { 2 }\)

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Definitions:

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