Honors Precal 2- Exam 1 Vocad

The sum of the degree measures of the interior angles of a triangle is

180

The degree measure of an angle is

180/π times the radian measure of the angle.

A right triangle is

a triangle where two of the sides are perpendicular.

Let f be a function and let A be a positive number. We say the function f has period A if A is the smallest number satisfying xxx for all x in the domain of f.

f(x+A) = f(x)

constant polynomial

A polynomial of degree 0.

Pythagorean Theorem.

Given a right triangle in a plane with sides of lengths a, b and c where c is the length of the hypotenuse, then a^2 +b^2 = c^2

positive angles.

Our angles have all been measured in a counter clockwise direction from the x − axis. Such angles have positive measure

Linear polynomial

a polynomial with a degree of 1

the domain of the function.

The set of all first coordinates (x- coordinates) of all ordered pairs of a function

range of the function.

The set of all second coordinates (y- coordinates) of all ordered pairs of a function

negative angles.

When measured with a clockwise direction from the positive x − axis, angles have negative measure

Polynomial

a mathematical expression that is the sum of a number of terms

The expression an means

a × a × · · · × a where a is multiplied by itself n times.

the 2 square of a means

a×a and is denoted as a^2

A function is a

collection of points in the plane with the property that no two of these points are on the same vertical line.

Two triangles are called similar triangles if

corresponding angles have equal measure.

If (x1,y1) and (x2,y2) are points in the plane, then the distance between these two points is given by:

d= sqrt (x2-x1)^2+ (y2-y1)^2

Lines are polynomials of

degree 0 and 1.

quadratics

degree 2 polynomial

cubics

degree 3 polynomial

quartics

degree 4 polynomials

The number n is called the xx of the polynomial and the numbers a0,a1,a2,...,an−2,an−1,an are called the xx of the polynomial.

degree; coefficients

The radius R of a circle is

half the length of the diameter of the circle.

We define the function T such that

if P is a point on the unit circle and the radius of the circle that contains P forms an angle of radian measure θ with the positive x − axis, then T (θ ) = S(θ ) /C(θ ) .

We define the function C such that

if P is a point on the unit circle and the radius of the circle that contains P forms an angle of radian measure θ with the positive x − axis, then C(θ ) is the x−coordinate of P.

We define the function S such that

if P is a point on the unit circle and the radius of the circle that contains P forms an angle of radian measure θ with the positive x − axis, then S(θ ) is the y−coordinate of P.

The reals are the

integers, rational numbers and irrational numbers

An angle in standard position

is an angle for which the vertex is at the origin and one of the rays is the positive x − axis. The ray on the positive x − axis is referred to as the initial ray of the angle. The other ray is referred to as the terminal side of the angle.

If n is a xxx and a0,a1,a2,...,an−2,an−1,an are xxx, then it is a polynomial.

non-negative integer; real numbers

quintics

polynomials

Given any circle centered at the origin and an angle in standard position, let P1 be the intersection of the circle with the initial side of the angle and let P2 be the intersection of the circle and the terminal side of the angle. The arc associated with the angle is the

portion of the circle traced by a point traversing the circle in a counter-clockwise direction from the point P1 to the point P2.

If the radian measure of an angle is θ , then we say the angle has

radian measure θ or measure of θ radians.

Given any circle centered at the origin and any angle in standard position, the radian measure of the angle is the

ratio of the length of the arc associated with the angle and the radius of the circle.

The function secant, abbreviated as sec, is the

reciprocal of cosine. I.e. sec(x) = 1/cos(x) .

The function cosecant, abbreviated as csc, is the

reciprocal of sine. I.e csc(x) = 1/sin(x) .

The function cotangent, abbreviated as cot, is the

reciprocal of tangent. I.e cot(x) = 1/tan(x) .

An angle is a

subset of a plane consisting of two distinct rays with a common endpoint called the vertex of the angle.

The unit circle is

the circle centered at the origin with radius one unit.

The number π is the ratio of

the circumference of a circle to the diameter of the circle. Restated, π = C/D .

degree of a polynomial

the greatest degree of any term in the polynomial

The diameter D of a circle is

the length of a line segment starting at one point on a circle, passing through the center and ending on the circle.

The circumference C of a circle is

the length of the perimeter of the circle.

The rationals are

the numbers qp where p and q are integers and q ̸= 0. Examples: 2 −5 3 and 125.

The irrationals are

the numbers that are not rational. Examples: π, e and sqrt 2.

Absolute value def and how it is denoted

the positive distance the number a is from zero. The absolute value of a is denoted as |a|.

Given two similar right triangles,

the ratios of corresponding sides are equal.

For a right triangle, the hypotenuse is

the side that is not perpendicular to any other side.

Integers

whole numbers and their opposites

The number b is called the y−intercept since it is the xx. The point (0, b) is the point where the line intersects the y−axis.

y value associated with the value x = 0.

We traditionally use b and m and write y = mx+b instead of

y=a1x+a0.