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

question 43

Multiple Choice

Use the conversion formula $\cos x = \sin \left( \frac { \pi } { 2 } - x \right)$ to replace the expression $f ( t ) = 5.2 \cos ( 6 \pi t ) + 10$
By a sine function.

• A) \(f ( t ) = 5.2 \sin \left( \frac { \pi } { 2 } - 6 \pi t \right) + 10\)
• B) \(f ( t ) = 5.2 \sin \left( \frac { \pi - 6 \pi t } { 2 } \right) + 10\)
• C) \(f ( t ) = 5.2 \sin \left( \frac { \pi } { 2 } - 6 t \right) + 10\)
• D) \(f ( t ) = 6 \sin \left( \frac { \pi } { 2 } - 5.2 \pi t \right) + 10\)
• E) \(f ( t ) = 10 \sin \left( \frac { \pi } { 2 } - 6 \pi t \right) + 5.2\)

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