Angles and Trigonometry
This term refers to angles that have the same initial and terminal sides.
A way of compactly expressing a series of numbers.
What is sigma notation?
The principle used to approximate the area under a curve.
Riemann Sum Theorem
The fundamental rule relating sine, cosine, and tangent.
trigonometric identities
A rule that involves equal sides of a right triangle.
Pythagorean theorem
The smallest positive angle between the terminal side of an angle and the x-axis.
reference angle
The highest value in a given set.
What is upper bound?
The side of an angle where it ends in standard position.
terminal side
Functions like secant and cosecant that are reciprocals of trig functions.
reciprocal trig functions
Equations that hold true for all angles.
trigonometric identities
Measures of angles in terms of the radius of a circle.
Radian
The smallest value in a given set.
lower bound
30-60-90 and 45-45-90 triangles
special right triangles
Refers to shapes like sine and cosine waves.
sinusoidal
An approximation that is greater than the actual value.
overestimate/underestimate
Standard units for measuring angles.
Degree
The leftmost point of an interval.
left endpoint
The circle used to define trigonometric functions.
unit circle
Relationships like sine squared plus cosine squared equals one.
Pythagorean identities
Dividing an interval into smaller parts.
subintervals
Functions like sine and cosine that relate angles to sides of triangles.
Trigonometric functions
The rightmost point of an interval.
Techniques for approximating area with rectangles.
sub-intervals
A circle with a radius of one, used in trigonometry.
unit circle
The position of a term within a series.
index