Triangles and Angles
Functions and Inverses
Know Your Unit Circle
Graphs
Misc
100
SinA=? TanB=?
a= 7 b=5 c=8.6
A=50 B=40
SinA= 7/8.6
TanB= 7/5
100
Given that an angle is in quadrant III, fine the value of cos-1(-1/2).
cos-1(-1/2)= 4π /3
100
sin 180*
0
100
Given the following information, write the equation for the Cosine graph.
Amplitude: 7
Phase shift: 9/10π
Period:12/5
Y= 7cos(5π /6x-3/4)
100
When is your final?
Wednesday, May 20th
200
b=5cm c=12cm Find the Area.
Find the value of a using Pythagorean Theorem which gives you a=√ 119 cm
Area= 1/2(√ 119 * 5)
Area= 27.3 cm2
200
Solve the equation without a calculator:
Tan(π/3)
√3
200
A positive co-terminal angle of 55 degrees converted into radians.
What is 415 degrees= 83π/12 radians?
200
Given the equation, find the amplitude, phase shift, vertical shift and period.
3tan(2x-5π /6)+1.5
Amplitude: none
Period: π/2
Phase shift: 5π/12 to the right
Vertical Shift: 1.5 up
200
Name the actor that played Anakin Skywalker in the Star Wars Prequals?
Who is Hayden Christensen
300
Find the arc length of the sector noted in red in the image above.
15.71 cm
300
a=38 c=63 find the degree of angle B.
B= Cos-1(38/63)
B= 52.9 degrees
300
Find Sec(4π/3)
-2
300
Given the equation, find the amplitude, phase shift, vertical shift and period.
F(x)= 4Sin(x-3π /4)-2
Amplitude: 4
Phase Shift: 3π /4 to the right
Vertical Shift: Down 2
Period: 2π
300
What is the name of the fictional town in which Stranger Things takes place?
Hawkins, Indiana
400
At a park, the slide is 17ft long and makes an angle of 36 degrees with the ground. How tall is the ladder on the slide and how far is the ladder from the base of the slide?
Sin(36)=x/17
17*Sin(36)=x
x= 9.9ft tall (Height of ladder)
Cos(36)=x/17
17*cos(36)=x
x=13.7 ft away from the base of the slide
400
Charlie is biking to the store from his house.He ends up 5 miles north and 7 miles east from his house. Calculate the total distance he walked.
A2+B2=C2
52+72= total distance walked
74= c2
= 8.6 Miles
400
Given the angle -π /6 and Cos(θ)=√3/2 find the exact angle and the value of Sin(θ) without calculator.
If Cosθ is positive the angle is is in the quadrant IV making the angle 11π/6 and the Sin(θ) is -1/2.
400
Given the equation, find the amplitude, phase shift, vertical shift and period.
1/2cos(2/3x*2π )-3
Amplitude: 1/2
Phase Shift: none
Vertical Shift: down 3
Period:3/2
400
(Other than Pluto) what is the smallest planet in our solar system?
Mercury
500
Find the radius of the sector.
r=29.28cm
500
a=49 b=26 find the measure of angle B.
Tan-1(26/49)
=27.9 Degrees
500
Find the Value of cot(135*)* sin(5π/6)
-1/2
500
Given the following graph, write the equation of the Sin function.
SLO:
Given the graph of a sine/cosine function, determine the amplitude, phase shift, period and vertical shift of the function and use these to write the equation of the function.
F(x)= -3sin(2x+π/2)
500
Which US president was a licensed bartender?
Abraham Lincoln