Word Problems
The London Eye Ferris wheel has a diameter of 135m and completes one revolution in 30 minutes. Determine the angular velocity in radians per second.
W = pi/900
Change the following radian to degrees
PI
180 degrees
what does "a" mean in transformation?
Amplitude
Determine the exact solution for 0<x<2pi
Cos +1 = 0
x=Pi
In the CAST which quadrants are each of the following positive?
Tan, Cos, Sin
Sin - 1,2
Cos - 1,4
Tan - 3,4
The tides at Cape Capstan, New Brunswick, change the depth of the water in the rbour. On one day in October, the tides have a high point of approximately 10 m at 2 p.m. and a low point of approximately 1.2 m at 8:15 p.m. A particular sailboat has a draft of 2 m. This means it can only move in water that is at least 2 m deep. The captain of the sailboat plans to leave the harbour at 6:30 p.m. Can the captain exit the harbour safely at that time? What is the question you will be using.
Yes he can
y=4.4cos4pi/25(x-2) +5.6
Change the following from radians to degrees
270
3pi/2
The value of "d" is it a phase shift or a Vertical shift?
Phase Shift
Determine the exact solution for 0<x<2pi
Sin x = Root 3/2
x = pi/3, 2pi/3
Special Triangle what are the sidelengths when the angle is 45 degrees?
Hyp - Root 2
Opp - 1
Adj - 1
In a simple arc for an alternating current circuit, the current at any instant t is given by the iction f(t)=15sin(60t). Find the average rate of change as t goes from 2 to 3. Find the instantaneous rate of change at t = 2
Aroc = -20.7
Iroc= 716.7
How are you to find the feda in a unit circle?
feda = arc length divided by radius
When finding your values of "a" and "c" which of the following is an addition equation between your max and min values followed by being divided by 2.
This would be your C value
Determine the approximate solution rounded to the nearest hundred
sin x = 1/4
x = 0.25, 2.89
What does the Mid Line of curve mean
A small windmill has its center 6 m above the ground and blades 2 m in length.In a steady wind, a point P at the tip of one blade makes a complete rotation in 12 s.
a) Determine a function that gives the height of point P above the ground at a time t.
h(t)=-3cos(pi/20t) +2.5
Determine the exact value of the trig ratio below
sec11pi/6
cos11pi/6 = root3/2
In the equation below describes transformations that are occurring
y= 1.5sin2(x-pi) +3
a - 1.5
period - pi
Scale - pi/4
Vertical shift 3 units up
Solve the following
y=cos^2x+3 cos x+2=0
x=Pi
What are your zero value?
Your 0 is the same as your x intercepts
During a bicycle race, the back wheel of Dillans bicycle rotates 120 times in 1 min. Determine the exact angular velocity of the wheel in degrees per second.
720
Determine the exact value of the trip ratio below
sin3pi/4
=1/root 2
A cosine function has a Max value of 8 and a minimum of -4, a period of 4pi, and a phase shift of pi.
Create an equation for the function
y= 6cos1/2(x+pi) +2
Solve the following
2 cosxsinx = cosx
x = pi/2, 3pi/2
x = pi/6, 5pi/6
Name a similarity and difference between sine and cosine functions?
Difference- The sine function starts at origin while cosine starts at 1
Similarity- They both stay within the same max and min values and both have the same ways patters.