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Use the Conversion Formula cos⁡x=sin⁡(π2−x)\cos x = \sin \left( \frac { \pi } { 2 } - x \right)

Question 11

Multiple Choice

Use the conversion formula cos⁡x=sin⁡(π2−x) \cos x = \sin \left( \frac { \pi } { 2 } - x \right) to replace the expression g(t) =45−cos⁡(t−5) g ( t ) = 45 - \cos ( t - 5 )
By a sine function.


A) g(t) =45−sin⁡(π2−t+5) g ( t ) = 45 - \sin \left( \frac { \pi } { 2 } - t + 5 \right)
B) g(t) =45−sin⁡(π2−t−5) g ( t ) = 45 - \sin \left( \frac { \pi } { 2 } - t - 5 \right)
C) g(t) =45−sin⁡(π−t+5) g ( t ) = 45 - \sin ( \pi - t + 5 )
D) g(t) =45−sin⁡(π2+t+5) g ( t ) = 45 - \sin \left( \frac { \pi } { 2 } + t + 5 \right)
E) g(t) =π2−45−sin⁡(t+5) g ( t ) = \frac { \pi } { 2 } - 45 - \sin ( t + 5 )

Correct Answer:

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