RATs
Graphs
Equations
Unit circle
Transformations
non-RATs
100
Calculate the length of the hypotenuse
50
100
What is the amplitude?
2
100
Solve sinx=0.5 on the domain 0<=x<=360
x=30°
x=150°
100
In which quadrant is the angle 200?
Third
100
Describe the transformation from f(x)=sinx to f(x)=sinx +3
Vertical translation of three units up
100
Calculate the length of the side x (3 s.f.)
xapprox14.3
200
Write down the value (ratio) of tanA
48/14
200
What is the equation of the graph below?
f(x)=cos(2x)
200
Solve cosx=0.5 on the domain -270<=x<=360
x=300
200
Solve for x on the domain 0<=x<=360
sin50=sinx
x=130
200
Describe the transformations from f(x)=cosx to f(x)=3cosx-4
Vertical stretch by a factor of 3 and a vertical translation of 4 units down
200
Calculate the size of angle x (3 s.f.)
xapprox88.3°
300
Calculate the size of angle A (3 s.f.)
52.0
300
State the amplitude and period of the graph below
Amplitude = 2
Period = 120
300
How many solutions are there to the equation 2sin(2x)=1.5 on the domain -360<=x<=360
8 solutions
300
Solve for x on the domain 0<=x<=360
cos95=cosx
x=265
300
Describe the transformations from f(x)=cosx to f(x)=2cos(3x)
Vertical stretch by a factor of 2 and a horizontal stretch by a factor of 1/3
300
Calculate the length of the side x (3 s.f.)
xapprox17.9 cm
400
Calculate the size of angle B (3 s.f.)
38.0
400
What is the equation (sine, not cosine) of the graph below?
f(x)=sin(x+90)
400
Solve sinx=2/3 given that x is an obtuse angle (3 s.f.)
xapprox138°
400
Solve for x on the domain 0<=x<=360
tan140=tanx
x=320
400
Describe the transformation from f(x)=cosx to f(x)=cos(x+60)
Horizontal translation of 60 units to the left
400
Calculate the area of the triangle (3 s.f.)
Aapprox161 cm^2
500
Calculate the length of AB (3 s.f.)
11.7
500
What is the equation of the graph below?
f(x)=-2cos(2x)-1
500
For what values of x are sinx and cosx the same on the domain 0<=x<=360 ?
x=45°
x=225°
500
Solve for x on the domain 0<=x<=360
sin200=sinx
x=340
500
Describe the three transformations from the red graph to the blue graph
Vertical stretch by a factor of 2, horizontal stretch by a factor of 1/3, vertical translation one unit down
500
What is the length of c in terms of x?
c=sqrt(x^2+x+1)