Trigonometry
Cofunctions
Trigonometric functions whose values are equal when evaluated on complementary angles
Half-angle
A set of trigonometric identities that help you translate the trigonometric values of unfamiliar angles into more familiar values. This is done by dividing the angle by 2.
Polar Axis
A horizontal ray directed toward the right from the pole
Regression Equation
A statistical model, used to determine the specific relationship between the predictor variable and the outcome variable.
Slope
The ratio of the rise to the run which describes the steepness of a line in the coordinate plane.
Sum & Difference Formula
Formula that is used to find the value of trigonometric functions at angles that can be written as the sum or difference of the special angles 0°, 30°, 45°, 60°, 90°, and 180°.
Double-angle
A set of trigonometric identities for angles of form 2θ
Polar Coordinate System
A grid on concentric circles and their center, which is called the pole, whose radii are integral multiples of 1
Scatter Plot
Uses dots to represent values for two different numeric variables.
Approximate value
A value that is similar to the other value but not exactly equal to it
Tangent line
A line that passes close to a curve but only touches it at a single point.
Inverse Trig Functions
arcsin, arccos, and arctan, which is the inverse of its corresponding trig function
Polar Coordinates
A point on a polar coordinate system represented by a distance and an angle measure.
Average Velocity
The change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.
Exact value
The value is as precise as possible and isn’t estimated.
Secant line
A line passing through two points of a curve
Reciprocal Trig Functions
The flipped versions of the basic trigonometric functions described as 1/(func).
Pole
The origin of a polar coordinate system
Average Rate of Change
The average rate at which one quantity is changing with respect to something else changing.
Imaginary number
A variable which doesn’t exist that when squared, gives a negative result.
Point of Inflection
Point in which a function changes concavity (from curving upward to downward or vice versa).
Trigonometric Identities
the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation
Polar Circle
A unit circle using polar coordinates.
Instantaneous Rate of Change
The change in the rate at a particular instant
Concavity
Relating to the rate of change of a given function, which depends on whether f is increasing (curves up) or decreasing (curves down).