Right Triangles
The ratio y/r
What is sin(θ)?
This is the total degree measurement for one rotation around a circle.
What is 360°?
This is the line that the graph of sine or cosine oscillates around.
What is the midline?
Given the equation Asin(Bt)+D, this variable represents the amplitude.
What is A?
This is the term for the measurement of distance from one stake to another around a section of a circle.
What is arc length?
The ratio x/r
What is cos(θ)?
The terminal ray with an angle measurement of 288° ends up in this quadrant.
What is Quadrant IV (four)?
This is the distance from the midline to the maximum and the midline to the minimum.
What is amplitude?
Given the equation Acos(Bt)+D, this variable represents the midline.
What is D?
If you had 12 stakes, this is how you would find the angle measurement in degrees of each section.
What is 360°/12?
Given the point (x, y), this equation can be used to find the radius of the circle.
What is x2+y2 = r2 ?
The terminal ray with an angle measurement of -178° ends up in this quadrant.
What is Quadrant III (three)?
This is the term for the amount of time it takes to make one full revolution around the Ferris wheel.
Sketch a cosine graph of what one of these would look like.
Given the equation Acos(Bt)+D, this variable represents the angular velocity.
What is B?
If you had 12 stakes, this is how you would find the measurement in terms of radians.
What is 2π/12?
Given a reference angle in QI (⍵=36°), this would be the terminal angle in QIII.
Requires calculation.
What is 216°?
This is the total radian measurement for the full revolution around a circle.
Hint: Think about how many radii stretch around a circle.
What is 2π?
This is where the graph of sine starts when moving in a clockwise rotation.
What is the midline?
Given the equation Asin(Bt)+D, this is how you would find the period.
What is 360°/B?
This is an equation to find the arc length.
What is s=rᐧθrad?
What is s=rᐧθ°ᐧ(π/180)?
What is s=(2πr)ᐧ(1/n)
Given sin(θ)=1/2, this operation can be used to find the angle theta.
What is inverse sine?
The terminal ray with an angle measurement of 4 radians ends up in this quadrant.
What is Quadrant III (three)?
This is where the graph of cosine starts when moving in a counterclockwise rotation.
What is maximum?
Given the equation h(t)= -14sin(32t)+18, this would be the amplitude, midline, angular velocity, period, and direction of rotation.
What is 14 feet, 18 feet, 32°/sec, 11.25 sec, and clockwise?
Given the radian measurement of π/2 and a radius of 4, this is the arc length.
Requires calculation.
What is 2π?