PreCal Final Exam 2020

At a pier, scientists measure the depth of the water according to the tides.  At high tide, the water depth is 8 feet.  At low tide, 6.2 hours later, the depth is 5 feet.  Use the equation to predict the depth after 4 hours.

• 4 feet deep
• 5.84 feet deep
• 5.42 feet deep
• 4.98 feet deep.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.TF.B.5

At a pier, scientists measure the depth of the water according to the tides.  At high tide, the water depth is 8 feet.  At low tide, 6.2 hours later, the depth is 5 feet.  Use the equation to calculate how many hours it will be before the water depth is first below 7 feet?

• 9.96 hours
• 2.43 hours
• 2.91 hours
• 1.89 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A Ferris wheel has a diameter of 38 ft.  The bottom of the Ferris wheel is 3 ft. off the ground and it makes one revolution every 30 seconds.  After you board the Ferris wheel it takes you 14 seconds to get to the top.  What would be the amplitude of the sinusoidal function representing this scenario?

• 38
• 30
• 15
• 19

Tags

CCSS.HSF.TF.B.5

The temperature in an office is controlled by an electronic thermostat.  The temperatures vary according to the sinusoidal function: 
y = 19 + 6 sin( π/12 (x – 11))
where y is the temperature (ºC) and x is the time in hours past midnight.  What are the minimum and maximum temperatures in the office?

• 13ºC and 25ºC
• 17ºC and 23ºC
• 5ºC and 17ºC
• 8ºC and 30ºC

The amplitude of the Australia graph and the amplitude of the Canada graph,respectively, are

• 480 V and 240 V
• 240 V and 240 V
• 480 V and 120 V
• 240 V and 120 V

Tags

CCSS.HSF-IF.C.7E

Simplify:  tanxcotx-cos²x

• tanx
• cotx
• sin²x
• cos²x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify this to a basic trigonometry function:
tan(x)csc(x) 

• tanx
• secx
• cotx
• cscx

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• -1
• sin θ
• csc θ
• 1

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

• csc²θ
• sec²θ
• cscθ
• 1

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.2

Simplify.

• sinθ
• cos²θ
• sin²θ
• 1- sin²θ

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8