Pre-Calculus



Advanced Algebra (Pre-Calculus) Name ______________________________

Review Chapter 5 Period ______ Date __________________

Part I NO CALCULATOR

Sketch an angle in standard position that has the given measure. Show the direction of rotation.

1.] (210(

__________ 2] What is the amplitude? [pic]

__________ 3] What is the period? [pic]

__________ 4] What is the vertical shift? [pic]

__________5] Convert 500( to radians. __________ 6] Convert [pic] to degrees.

Give the exact value of each trig ratio.

__________7] [pic] __________8] [pic]

__________9] [pic]

Given that [pic], give the exact values of each function.

__________10] [pic] __________11] [pic]

__________12] [pic] __________13] [pic]+ [pic]

__________14] If [pic] and [pic], in which quadrant is [pic] ?

Find the exact value.

__________15] [pic] __________16] [pic]

__________17] [pic] __________18] [pic]

Given that [pic] and [pic] is in quadrant IV, find each.

__________19] [pic] __________20] [pic]

Given that [pic] is an angle in standard position, with terminal side passing through (-5, 12), find

__________21] [pic] __________22] [pic]

__________23] Which of the following is a vertical asymptote of the graph of [pic]?

A. [pic] B. [pic] C. [pic] D. [pic]

_____________24] Find 2 consecutive asymptotes of: [pic]

_____________ (be sure to write your asymptotes as equations!)

______________________25] Find the domain of [pic]

______________________26] Find the range of [pic]

Sketch the graph of the function. Be sure to label the units on the x-axis!! (4 pts each)

27] [pic] 28] [pic]

29] [pic] 30] Write the equation of the sine function

___________________________________

31] Write the equation of the secant function 32] Write the equation of the tangent function

________________________________ __________________________________

Chapter 5 REVIEW Name ____________________________

Part II. Complete with a Graphing Calculator

Show all work / justification for each problem to earn full credit.

CHECK THE MODE ON YOUR CALCULATOR!!

Use your calculator to approximate each value to three decimal places.

________________33] [pic]

________________34] [pic] (are you checking the mode??)

________________35] Write in Degrees-Minutes-Seconds form: [pic]

________________36] Convert [pic] into radians

Solve each problem. Continue rounding all answers to three decimal places.

___________________37] Given that the earth is a sphere with radius 3960 miles, find the distance

between two cities, one directly north of the other, if one is located at latitude

[pic] and the other is located at [pic].

A chain moves around a circular gear so that is completes 7 revolutions in 2 seconds.

__________________38] What is the angular speed of the chain?

__________________39] If the circle has a radius of 5 inches, what is the linear speed of the chain?

A lawn sprinkler travels through an angle of 140[pic]and waters a sector with a radius of 50 feet.

_________________40] What is the area of the lawn the sprinkler waters?

Bonus: You are sitting in 1st block, staring at the clock, when you realize that the second hand has just rotated through 6,210 degrees. For how many minutes and seconds have you been staring at the clock?

____________________

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1

2

3

4

1

2

3

4

(4 pts)

1

2

3

4

(4 pts)

(4 pts)

(3 pts each)

(3 pts each)

(3 pts)

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