Exponent Rules & Functions
SOH CAH TOA
SL & CL
Sine Function
True or False
100
simplify (2x5y3)4
what is 16x20y12
100
What trigonometry ratio would you choose to solve for side x?
CAH
100
What formula do you have to start with? How do you know?
Sine Law - there is a known angle and opposite side length given
100
What is the amplitude, domain, and range for:
f(x) = sin x + 3
a = 1
D:{XER}
R:{YER|2<y<4}
100
(True or False) This represents a periodic function:
False
200
simplify: (13z)5
what is 115z5
or z5
200
Find the value of x. Round to one decimal.
x=15.9
200
Find the measurement of angle Q (round to a whole number).
250
200
What transformations have been applied?
y=1/2 sinx+1
vertical compression by 1/2
a = 1/2
shifted up 1
D:{xER}
R:{yER|0.5<y<1.5}
200
T/F: The period is 4
True
300
2243
300
Find x
6.09 km
300
Find x
3.79 cm
300
What transformations have been applied?
y= 4sin(5(x-10))+7
vertically stretched by 4, a = 4, not reflected
period = 72
shifted right 10
shifted up 7
D: {xER}
R: {yER| 3<y<11}
300
T/F: You can use Sine Law and Cosine Law on right triangles
True
400
simplify:
(5^-3x^-7)/(a^-9c^-5)
What is:
(a^9c^5)/(5^3x^7)
400
Find \theta
41.8°
400
Solve for A to the nearest tenth of a degree
X=22.1º
400
The spokes of a water wheel go around in a consistent pattern, represented by:
h(x)=sin x
What is the radius of the water wheel?
radius = 1
400
T/F: These are co-terminal angles: 75 & 425
False
500
f(x)=(0.93)x
What is the domain, range, x-int, y-int, asymptotes
D: {xER}
R:{yER|0<y}
x-int: NONE
y-int: (0, 1)
asymptote: x-axis
500
What is the measurement of the three missing angles?
top left = 370
bottom left = 1220
bottom right = 580
500
What two scenarios do you use Cosine Law?
1) When you have the measurement of two sides and the angle in between them given
2) When you have the measurement of all three side lengths given
500
The height of a Ferris Wheel is modelled by:
h(x)=6sin(x-90)+7
What are the maximum and minimum heights of the riders on the Ferris Wheel?
max = 13
min = 1
500
T/F: You should start with Sine Law to solve this triangle
True (after subtracting for angle C)