What is the equation for this sinusoidal function?

f ( x ) = 3 cos ⁡ [ 60 ( x − 1 ° ) ] − 2 f\left(x\right)=3\cos\left[60\left(x-1\degree\right)\right]-2 f ( x ) = 3 cos [ 6 0 ( x − 1 ° ) ] − 2

f ( x ) = − 3 cos ⁡ [ 60 ( x − 1 ° ) ] − 2 f\left(x\right)=-3\cos\left[60\left(x-1\degree\right)\right]-2 f ( x ) = − 3 cos [ 6 0 ( x − 1 ° ) ] − 2

f ( x ) = 3 sin ⁡ [ 60 ( x − 1 ° ) ] − 2 f\left(x\right)=3\sin\left[60\left(x-1\degree\right)\right]-2 f ( x ) = 3 sin [ 6 0 ( x − 1 ° ) ] − 2

f ( x ) = − 3 sin ⁡ [ 60 ( x − 1 ° ) ] − 2 f\left(x\right)=-3\sin\left[60\left(x-1\degree\right)\right]-2 f ( x ) = − 3 sin [ 6 0 ( x − 1 ° ) ] − 2

Which is NOT an equation for this sinusoidal function?

f ( x ) = 3 sin ⁡ [ 60 ( x − 4 ° ) ] − 2 f\left(x\right)=3\sin\left[60\left(x-4\degree\right)\right]-2 f ( x ) = 3 sin [ 6 0 ( x − 4 ° ) ] − 2

f ( x ) = 3 cos ⁡ [ 60 ( x − 1 ° ) ] − 2 f\left(x\right)=3\cos\left[60\left(x-1\degree\right)\right]-2 f ( x ) = 3 cos [ 6 0 ( x − 1 ° ) ] − 2

f ( x ) = − 3 cos ⁡ [ 60 ( x − 4 ° ) ] − 2 f\left(x\right)=-3\cos\left[60\left(x-4\degree\right)\right]-2 f ( x ) = − 3 cos [ 6 0 ( x − 4 ° ) ] − 2

f ( x ) = − 3 sin ⁡ [ 60 ( x − 2.5 ° ) ] − 2 f\left(x\right)=-3\sin\left[60\left(x-2.5\degree\right)\right]-2 f ( x ) = − 3 sin [ 6 0 ( x − 2 . 5 ° ) ] − 2

What is the equation for this sinusoidal function?

f ( x ) = 2 sin ⁡ ( 90 x ) − 3 f\left(x\right)=2\sin\left(90x\right)-3 f ( x ) = 2 sin ( 9 0 x ) − 3

f ( x ) = 2 cos ⁡ ( 90 x ) − 3 f\left(x\right)=2\cos\left(90x\right)-3 f ( x ) = 2 cos ( 9 0 x ) − 3

f ( x ) = 2 cos ⁡ ( 4 x ) − 3 f\left(x\right)=2\cos\left(4x\right)-3 f ( x ) = 2 cos ( 4 x ) − 3

f ( x ) = 2 sin ⁡ ( 4 x ) − 3 f\left(x\right)=2\sin\left(4x\right)-3 f ( x ) = 2 sin ( 4 x ) − 3

Which is NOT an equation for this sinusoidal function?

f ( x ) = − 2 sin ⁡ [ 90 ( x − 3 ° ) ] − 3 f\left(x\right)=-2\sin\left[90\left(x-3\degree\right)\right]-3 f ( x ) = − 2 sin [ 9 0 ( x − 3 ° ) ] − 3

f ( x ) = − 2 sin ⁡ [ 90 ( x + 2 ° ) ] − 3 f\left(x\right)=-2\sin\left[90\left(x+2\degree\right)\right]-3 f ( x ) = − 2 sin [ 9 0 ( x + 2 ° ) ] − 3

f ( x ) = 2 sin ⁡ ( 90 x ) − 3 f\left(x\right)=2\sin\left(90x\right)-3 f ( x ) = 2 sin ( 9 0 x ) − 3

f ( x ) = − 2 sin ⁡ [ 90 ( x − 2 ° ) ] − 3 f\left(x\right)=-2\sin\left[90\left(x-2\degree\right)\right]-3 f ( x ) = − 2 sin [ 9 0 ( x − 2 ° ) ] − 3

You get on a Ferris wheel car at its lowest point, 5 m above the ground level. After 5 minutes, you are at the highest point, 65 m above ground level. Determine an equation for h ( t ) h\left(t\right) h ( t ) , the height above the ground after t minutes

h ( t ) = − 30 cos ⁡ ( 36 t ) + 35 h\left(t\right)=-30\cos\left(36t\right)+35 h ( t ) = − 3 0 cos ( 3 6 t ) + 3 5

h ( t ) = − 30 cos ⁡ ( 10 t ) + 35 h\left(t\right)=-30\cos\left(10t\right)+35 h ( t ) = − 3 0 cos ( 1 0 t ) + 3 5

h ( t ) = − 35 cos ⁡ ( 36 t ) + 30 h\left(t\right)=-35\cos\left(36t\right)+30 h ( t ) = − 3 5 cos ( 3 6 t ) + 3 0

h ( t ) = − 35 cos ⁡ ( 10 t ) + 30 h\left(t\right)=-35\cos\left(10t\right)+30 h ( t ) = − 3 5 cos ( 1 0 t ) + 3 0

MCR3U1 Ch 5 Review: SInusoidal Functions

Authored by Rita Chao

Mathematics

11th Grade

Used 2+ times

MCR3U1 Ch 5 Review: SInusoidal Functions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the following function periodic?

yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the period of the function?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is following function periodic?

Yes

FILL IN THE BLANK QUESTION

1 min • 1 pt

What is f(22)?

FILL IN THE BLANK QUESTION

1 min • 1 pt

What is f(60)?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The __________ measure the distance from the equation of the axis to the max or min of the function.

Amplitude

Phase Shift

Vertical Translation

Horizontal Translation

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the formula to find the Amplitude?

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