# Study sets matching "algebra ii with trigonometry"

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Square root

Nth root

Principal root

Radical equation

For any real numbers "a" and "b", if (a)2 = (b)2, then "a" is…

For any real numbers "a" and "b", and any positive integer "n"…

The nonnegative root.

An equation with radicals that have variables in the radicands.

Square root

For any real numbers "a" and "b", if (a)2 = (b)2, then "a" is…

Nth root

For any real numbers "a" and "b", and any positive integer "n"…

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the negat…

If both terms are opposite signs they can be crossed out and r…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Factoring ax²+bx+c

opposite leg

adjacent leg

SOHCAHTOA

sine (SIN)

the leg located opposite an angle of reference in a right tria…

the leg located next to an angle of reference in a right trian…

a mnemonic (memory) device that is used to remember the 3 basi…

opposite/hypotenuse

opposite leg

the leg located opposite an angle of reference in a right tria…

adjacent leg

the leg located next to an angle of reference in a right trian…

Trigonometry - means triangle measure

Circle

Names of a triangle

Trigonometric Functions

The relationships between sides and angles of triangles - in p…

SOH CAH TOA (sine is opposite over hypotenuse, etc.)

Trigonometry - means triangle measure

The relationships between sides and angles of triangles - in p…

Circle

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the negat…

If both terms are opposite signs they can be crossed out and r…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Factoring ax²+bx+c

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the negat…

If both terms are opposite signs they can be crossed out and r…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Factoring ax²+bx+c

Absolute Value

Absolute Value Equation and/or Inquality

Ambiguous Case

Amplitude

The distance of a number on a number line from 0.

An equation and/or inequality that contains an absolute value.

A situation in which more than one solution for a triangle can…

How high above or below the -axis the graph of a funstion reac…

Absolute Value

The distance of a number on a number line from 0.

Absolute Value Equation and/or Inquality

An equation and/or inequality that contains an absolute value.

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the negat…

If both terms are opposite signs they can be crossed out and r…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Factoring ax²+bx+c

standard position

negative angle

positive angle

quadrantal angle

- vertex at the origin... - one side of the angle on the positive…

clockwise from the x axis

counter clockwise from the x axis

angle with a terminal side on the x or y axis (not in a quadra…

standard position

- vertex at the origin... - one side of the angle on the positive…

negative angle

clockwise from the x axis

-3

(4.5, -3.125), (-3, 2.5)

29

-3 ± √(10)

Solve the equation if possible. 5/(x-5)+1/(x+5)=2/(x²-25)

Find the points of the graphs of the equations: ... x² + 2y = 3…

Perform the operations and write the result in standard form.…

Solve the equation for x using any convenient method. ... x²+ 6x…

-3

Solve the equation if possible. 5/(x-5)+1/(x+5)=2/(x²-25)

(4.5, -3.125), (-3, 2.5)

Find the points of the graphs of the equations: ... x² + 2y = 3…

Rational Number

Irrational Number

orgin on a number line

nonnegative numbers

A number that can be written as a fraction

A number that cannot be expressed as a terminating or repeatin…

0

number that is zero or positive

Rational Number

A number that can be written as a fraction

Irrational Number

A number that cannot be expressed as a terminating or repeatin…

Absolute value

Extraneous Solution

Direct Variation

Solution of a System of Linear Equations

The distance a number is from zero on a bumber line

An apparent solution that must be rejected because it does not…

Any function that can be modeled by y=ax

An ordered pair that makes both equations true (a point on a g…

Absolute value

The distance a number is from zero on a bumber line

Extraneous Solution

An apparent solution that must be rejected because it does not…