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

question 11

Multiple Choice

Use the conversion formula $\cos x = \sin \left( \frac { \pi } { 2 } - x \right)$ to replace the expression $g ( t ) = 45 - \cos ( t - 5 )$
By a sine function.

• A) \(g ( t ) = 45 - \sin \left( \frac { \pi } { 2 } - t + 5 \right)\)
• B) \(g ( t ) = 45 - \sin \left( \frac { \pi } { 2 } - t - 5 \right)\)
• C) \(g ( t ) = 45 - \sin ( \pi - t + 5 )\)
• D) \(g ( t ) = 45 - \sin \left( \frac { \pi } { 2 } + t + 5 \right)\)
• E) \(g ( t ) = \frac { \pi } { 2 } - 45 - \sin ( t + 5 )\)