f(t)=sin(2t)

2022-04-01 Answered

f(t)=sin(2t)

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Answers (1)

user_27qwe
Answered 2022-04-21 Author has 208 answers

f(t)=sin(2t)

Use the form asin(bx-c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a=1

b=2

c=0

d=0

Find the amplitude |a|.

Amplitude: 1

Find the period of sin(2x).

The period of the function can be calculated using 2π|b|.

2π|b|

Replace b with 2 in the formula for period.

2π|2|

The absolute value is the distance between a number and zero. The distance between 0 and 2 is 2.

2π2

Cancel the common factor of 2.

π

Find the phase shift using the formula cb.

The phase shift of the function can be calculated from cb.

Phase Shift: cb

Replace the values of cc and bb in the equation for phase shift.

Phase Shift: 02

Divide 0 by 2.

Phase Shift: 0

List the properties of the trigonometric function.

Amplitude: 1

Period: π

Phase Shift: None

Vertical Shift: None

Select a few points to graph.

xf(x)00π41π203π4-1π0

The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.

 

 


 

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