Use the Conversion Formula $\cos x = \sin \left( \frac { \pi } { 2 } - x \right)$

question 38

Multiple Choice

Use the conversion formula $\cos x = \sin \left( \frac { \pi } { 2 } - x \right)$ to replace the expression $g ( x ) = 25 \cos [ 2 \pi ( 3 x - 1 ) ] + 9$
By a sine function.

• A) \(g ( x ) = 25 \sin \left( 6 \pi x + \frac { 5 \pi } { 2 } \right) - 9 + \frac { \pi } { 2 }\)
• B) \(g ( x ) = 25 \sin \left( 6 \pi x - \frac { 5 \pi } { 2 } \right) + 9\)
• C) \(g ( x ) = 25 \sin \left( - 6 \pi x - \frac { 5 \pi } { 2 } \right) + 9\)
• D) \(g ( x ) = 25 \sin \left( - 6 \pi x + \frac { 5 \pi } { 2 } \right) + 9\)
• E) \(g ( x ) = 25 \sin \left( 12 \pi x + \frac { 3 \pi } { 2 } \right) + 9\)

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Definitions:

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Pertaining to an unborn offspring within the womb, particularly after the major structures and organs have begun to develop.

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The period of development between fertilization and birth in viviparous organisms, often referring to human pregnancy.

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The developmental stage of a human being in the womb from the ninth week after fertilization until birth.

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The process of continuing to live or exist, often despite hardship or danger.