Unit Circle
Mystery
πThe new stuff π
Mystery
Do you know it? Dun dun dun...
100
a unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius
Radians
100
when an angle is doubled
Double Angle
100
Set of points plotted on a horizontal and vertical axis.
Scatter Plot
100
The rise over the run between any two given points.
Slope
100
The measure of angles
Degrees
200
The distance the angle is from the closest x-axis.
Reference Angle
200
allow the expression of trigonometric functions of angles equal to Ξ±/2 in terms of Ξ±
Half angle
200
The slope of the tangent lines at a single point on the curve as h approaches 0.
IROC~Instantaneous Rate of Change.
200
in a triangle it is the ratio of the adjacent side to that of the hypotenuse. y = cosx on the graph it starts on (0,1) and keeps going down one down one up one up one. It is even.
Cosine function
200
A way to help you graph a transformed trig function easier.
Five point method.
300
The ray(line) is placed at the angle measure formed by moving clockwise or counterclockwise on the unit circle according to the interval you were given.
Standard Position
300
Another name for sine function. S-shaped smooth wave with repetitive oscillation.
Sinusoidal Function
300
The slope of the secant line connecting 2 points on a curve.
AROC~Average Rate of Change of f over the interval.
300
the ratio of the length of the opposite side to that of the hypotenuse in a right triangle. y = sinx starts at the origin. It is an odd function
Sine Function
300
A line that barely touches the curve
Tangent line!
400
Angles in standard position that have a common terminal side. You can find both a positive and negative angle for these.
Coterminal Angles
400
A mathematical expression utilized to show the relationship between a dependent and independent variable.
Regression Equation
400
Displacement (y) Change in time (x) The directional speed of an object as there is a change in time.
Average Velocity
400
How fast the period goes
Angular frequency
400
A line that intersects a curve at two distinct points.
Secant Line
500
Can be determined by a line that has been rotated in the unit circle in a clockwise or counterclockwise direction.
Terminal Angles.
500
the trigonometric function of the complement of an angle or arc. Two functions are called ... if they are equal on complementary angles
Cofunctions
500
equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined
Trigonometric identities
500
is an identity expressing the Pythagorean theorem in terms of trigonometric functions. It is a result of applying the Pythagorean theorem on the right triangle that is formed in the unit circle for each ΞΈ.
Pythagorean Identity.
500
values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers
Exact Value