Unit Circle Application
Trig Identities
Linear Trig Equations
Quadratic Trig Equations
Trig Models
100
cos(x)=- √3/2
What is x= 150 and 210
100
cot(x)*sin(x)
what is cos(x)?
100
sin(x)+2=3
What is sin(x)=1 and x=90 degrees?
100
sin^2(x)+3 sin(x)-4=0
What is no solution and x=90 degrees?
100
A Ferris wheel with a radius of 25 feet is rotating at a rate of 3 revolutions per minute. When t = 0, a chair starts at the lowest point on the wheel, which is 5 feet above the ground. Write a model for the height h (in feet) of the chair as a function of the time t (in seconds).
what is h=-25 cos π/10 t +30
200
tan (π/4)
What is 1?
200
cos^2(x) is equivalent to an equation
What is 1-sin^2(x)?
200
tan^2(x)=-3
What is no solution?
200
tan^2(x)-tan(x)=0
What is tan(x)=0 and x=0,180 degrees?
What is tan(x)=1 and x=45,225 degrees?
200
The height of the tide in a small beach town is measured along a seawall. Water levels oscillate between 7 feet at low tide and 15 feet at high tide. On a particular day, low tide occurred at 6 AM and high tide occurred at noon. Approximately every 12 hours, the cycle repeats.
What is a=4
300
cos (5π/3)
What is 0?
300
tan^2(x)+1
what is sec^2(x)?
300
2 cos(x)-3=-5
what is cos(x)=-1 and cos(x)=π?
300
cos^2(x)+9 cos(x)+18=0
what is having no solution?
300
The hour hand of the large clock on the wall in Union Station measures 24 inches in length. At noon, the tip of the hour hand is 30 inches from the ceiling. At 3 PM, the tip is 54 inches from the ceiling, and at 6 PM, 78 inches. At 9 PM, it is again 54 inches from the ceiling, and at midnight, the tip of the hour hand returns to its original position 30 inches from the ceiling. Let
equal the distance from the tip of the hour hand to the ceiling
hours after noon. Find the equation that models the motion of the clock and sketch the graph.
What is y=-24 cos(π/6x)+54