Unit Circle Application
The sin of 90
What is 1?
sin(x)/cos(x)=
A) cot(x)
B) sin(x)
C) tan(x)
What is C, tan(x) ?
Solve the equation for values 0≤x≤2π
2cos(x)+2=0
What is x=3pi/2 and pi/2 ?
Factor.
sin^2(x)+2sin(x)-3=0
What is (sinx-1) (sinx+3) ?
Find the value of the Sinusoidal equation that the problem describes, its function, and the distance.
A parking garage has 4 floors. Sarah parks on the 2nd floor, 10 feet above the ground floor. She has to get to an interview on the ground floor so she takes the elevator and goes from floor 2 down to floor one.
What is D, Vertical shift, 10ft?
330 degrees = ______ radians
What is 11pi/6 ?
The process of multiplying a ratio by another ratio to get both ratios to have the same denominator
What is finding the common denominator?
Solve the equation for values 0≤x≤2π
2sinx+sqrt2=0
What is x=7pi/4 and 5pi/4 ?
Factor.
2cos^2(x)+3cos(x)+1=0
What is (2cosx+1) (cosx+1) ?
Apply the real world description to a Sinusoidal Equation.
The wave pool has waves at an amplitude of 2 at 3ft above the pool floor. The distance from wave to wave is pi/4.
What is y=2sin(8x-0)+3 ?
The coordinate of 150 degrees (x,y)
What is (-sqrt 3/2, 1/2)?
1+cot^2(x)=csc^2(x)
What is Pythagorean Identity?
solve for values 0≤x≤2π
tan(x)*csc(x)+1/cos^2+sin^2=0
what is x=pi ?
Solve the equation for 0≤x≤2π
4cos^2x-2=0
What is x=pi/3 and 5pi/3 AND x=2pi/3 and 4pi/3 ?
Find the value of the Sinusoidal Equation that the problem describes, its function, and distance.
A runner starts his timed hill run routine at 0 feet (starting point of the course) for lap 1. When he returns to his starting point, the coach timing him stops the timer. The runner then starts his second lap 5 feet further than his starting point in lap 1.
What is C, Horizontal Shift, 5 feet?
The reference angle for a rotation of 215 degrees
What is 35 Degrees?
Name the identity.
sin(2A)=2sin(A)cos(a)
What is Double Angle Identity?
Solve where 0≤x≤360
cos(x)*tan(x)+3=2
What is x=270 degrees?
Solve the equation for 0≤x≤2π
4sin^2(x)+4=5
What is x=pi/6 and 5pi/6 AND 7pi/6 and 11pi/6 ?
A pilot flies a jet at a constant at y=0. Another pilot flies a route in a series of waves above and below y=0. The distances that the 2nd pilot flew on his route from y=0 is known as____.
What is Amplitude?
cot(60)
What is sqrt 3/3 ?
Simplify.
cot(x)tan(x)/sin^2+cos^2What is 1?
Solve the equation for values 0≤x≤2π
2sin2x+sqrt 3=0
What is x=5pi/6+pi(n) and 2pi/3+pi(n) ?
Solve the equation for 0≤x≤2π
2sin^2(x)+3sin(x)+1=0
What is x=7pi/6, 11pi/6, and x=3pi/2 ?
Apply this situation to the sinusoidal equation.
Jack and Jill were running a series of 2 feet hills, at 6 feet above ground level. The distance between each hill was 4 feet and the time it took to reach each peak was 1 minute.
y=2sin(pi/2x-0)+6