Write an Equation for a Sine Curve That Has the Given

question 96

Multiple Choice

Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.
-Amplitude $\frac { 1 } { 4 }$ , period $5 \pi$ , point $( 0,0 )$

• A) \(y = \frac { 1 } { 4 } \sin \frac { 5 x } { 2 }\)
• B) \(y = \frac { 1 } { 4 } \sin \frac { 2 \pi x } { 5 }\)
• C) \(y = \frac { 1 } { 4 } \sin 5 \pi x\)
• D) \(y = \frac { 1 } { 4 } \sin \frac { 2 x } { 5 }\)

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Definitions:

Refrigeration Cycle

The process in which a refrigerant absorbs and releases heat to cool and dehumidify the air in an air conditioning system.

Metric Measurement

A system of measurement based on meters, liters, and grams as units of length, volume, and weight respectively.

Joules

A unit of energy in the International System of Units (SI), equivalent to the energy transferred to an object when a force of one newton moves it one meter in the direction of its application.