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WorksheetsPre-Calculus Spring 2022 Final Exam
Total questions: 20
Worksheet time: 2hrs 40mins
Find the exact value of sin(225).
1
sqrt 2/2
-sqrt 2/2
-1
cos 4π/3
-√3/2
√3/2
1/2
-1/2
Q. At what point are sine and cosine the same value?
0
90
45
60
The expression sinx(secx-cscx) is equivalent to:
1-cotx
1-tanx
tanx-1
sinx
Simplify and select the correct solution tan 2 x - sec 2 x =
sec 2 x - 1
-1
1
1 - csc 2 x
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
y=6(0.14)x
y=6(1+14)x
y=6(0.86)x
y=6(1.14)x
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y=5000(0.7)x
y=30(5000)x
y=5000(1.3)x
y=5000xx
Sin (theta) is positive in which quadrants
the 1st and 2nd quadrants
the 1st and 3rd quadrants
the 1st and 4th quadrant
the 2nd and 3rd quadrants
A 50-foot tree casts a shadow 75 feet long. The sine of the angle between the ground and the line that connects the tip of the shadow to the top of the tree is approximately _____.
.82
.55
.67
.31
Which of the following triangles are right triangles ?
Triangle with side lengths 8, 15, 17
Triangle with side lengths of 4, 5, 6
Triangle with side lengths 3, 5, 10
Triangle with side lengths 5,12,13
The amplitude of a trigonometric function___________
(Mark all that apply)
measures the distance between extreme y coordinates
determines the horizontal length of one cycle of the trigonometric function
is always positive
measures the distance from the midline to the extreme y coordinates
What is the amplitude and period of y = -4 cos(5x)?
period = 4 amplitude = -5
period = 5/2π and amplitude = 4
period = 2π amplitude = -4
period = 2π/5 and amplitude = 4
Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63. How far away is the bird from Amanda?
25.23 ft
22.15 ft
23.19 ft
20.85 ft
In an effort to recover Abraham's lost cell phone, two cell towers stationed 6000 feet apart detect the signal from the phone. Using strength of signal, the west tower measures the phone to be 5050 feet away and the east tower detects the phone to be 2420 feet away (see diagram). What angle θ should Abraham walk from the west tower to get to his phone?
θ=18.48°
θ=23.33°
θ=24.17°
θ=27.91°
Expand log8 ( x y z5 )
log8x+log8y+log8z
5log8x+5log8y+5log8z
log8xy+5log8z
log8x+log8y+5log8z
Change to Exponential Form: log636 = 2
26=36
362=6
366=2
62=36
Convert from polar coordinates to rectangular coordinates: (3,−6π)
(-1.5, 2.60)
(- 2.60, 1.5)
(2.60, -1.5)
(1.5, - 2.60)
Convert to a polar equation 3x+7y=9
r = 9/cos3θ+sin7θ
r = 9/7cosθ+3sinθ
r =9/7cos3θ+3sin7θ
r = 9/3cosθ+7sinθ
What are Bearings in math?
A bearing is an angle, measured counter - clockwise from the north direction.
A bearing is an angle, measured counter - clockwise from the east direction.
Any normal angle
A bearing is an angle, measured counter - clockwise from the east direction.
A bearing is an angle, measured clockwise from the north
What trigonometric ratio is the inverse of cosine?
csc
cot
sin
sec
