Express the Function as a Sinusoid of the Form Y $$y = 4 \sin ( 6 x ) - \cos ( 6 x )$$

question 149

Multiple Choice

Express the function as a sinusoid of the form y = a sin (bx + c) .
- $$y = 4 \sin ( 6 x ) - \cos ( 6 x )$$

• A) \(y = \sqrt { 17 } \sin \left( 6 x + \cos ^ { - 1 } \left( \frac { 1 } { \sqrt { 17 } } \right) \right)\)
• B) \(y = \sqrt { 17 } \sin \left( 6 x - \sin ^ { - 1 } \left( \frac { 1 } { \sqrt { 17 } } \right) \right)\)
• C) \(y = \sqrt { 17 } \sin \left( 6 x + \sin ^ { - 1 } \left( \frac { 1 } { \sqrt { 17 } } \right) \right)\)
• D) \(y = \sqrt { 17 } \sin \left( 6 x - \cos - 1 \left( \frac { 1 } { \sqrt { 17 } } \right) \right\}\)

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Definitions:

Floodplain

Land that is level or almost level, located next to a river or stream, which undergoes infrequent or regular floods.

Meander

A winding curve or bend in a river, which occurs as the river erodes the landscape in sinuous patterns.

Flood

The result of water overfilling a channel and spilling out onto the floodplain or other adjacent land.

Hydrographs

Charts that show the flow rate of water over time at a specific point in a river or stream.