#### Study sets matching "alg ii trig honors"

#### Study sets matching "alg ii trig honors"

Amplitude

Arc length

Binomial Theorem

Cosine

Is half the difference between the maximum and minimum values…

The arc length is the measure of the distance along the curved…

The binomial theorem states that for every positive integer n,…

In a right triangle, the ratio of the side adjacent a given an…

Amplitude

Is half the difference between the maximum and minimum values…

Arc length

The arc length is the measure of the distance along the curved…

Periodic Functions

Period

Periodic Graphs

Amplitude

Functions that repeat exactly in regular intervals called cycl…

The length of a cycle

Patterns in a graph that repeat

The amplitude of sine and cosine is half the difference betwee…

Periodic Functions

Functions that repeat exactly in regular intervals called cycl…

Period

The length of a cycle

Double- angle identities:

Half -Angle identities:

Signs of X and ... Y depend on the quadran…

The 3 double angle identities of Cos 2…

Can be used to prove trigonometric identities and can be deriv…

Are useful in calculating exact values for trig expressions.

Sine Cos ... Q1 + +... Q2 + -... Q3 - -... Q4 - +

Cos(squared)theta- Sin(squared)theta. ... 2Cos(squared)theta-1…

Double- angle identities:

Can be used to prove trigonometric identities and can be deriv…

Half -Angle identities:

Are useful in calculating exact values for trig expressions.

Derivation for Pythagorean Identity

Reciprocal Identities

Tangent and Cotangent Ratio Identities

Pythagorean Identities

x^2 + y^2 = r^2 <--- Pythagorean Theorem... x^2/r^2 + y^2/r^2 <--…

cscθ = 1/sinθ... secθ = 1/cosθ... cotθ = 1/tanθ

tanθ = sinθ/cosθ... cotθ = cosθ/sinθ

cos^2θ + sin^2θ = 1... 1 + tan^2 θ= sec^2θ... cot^2θ + 1 = csc^2θ

Derivation for Pythagorean Identity

x^2 + y^2 = r^2 <--- Pythagorean Theorem... x^2/r^2 + y^2/r^2 <--…

Reciprocal Identities

cscθ = 1/sinθ... secθ = 1/cosθ... cotθ = 1/tanθ

What is matrix multiplication and sum a…

Rotation matrix =

sin(A + B)=

cos(A + B)=

To find the coordinates of points rotated about the origin on…

a matrix which moves a body as a rigid unit without altering i…

sin A cos B + cos A sin B

cos A cos B - sin A sin B

What is matrix multiplication and sum a…

To find the coordinates of points rotated about the origin on…

Rotation matrix =

a matrix which moves a body as a rigid unit without altering i…

Unlike trigonometric identities, most t…

To solve trigonometric... equations, use t…

Some trigonometric equations can be sol…

If the equation is in quadratic form bu…

solutions

algebraic equations

quadratic equations

quadratic formula

Unlike trigonometric identities, most t…

solutions

To solve trigonometric... equations, use t…

algebraic equations

complex numbers

discriminant

exponential decay

axis of symmetry

numbers written in the form a+bi where a and b are real number…

In the quadratic formula, b^2 - 4ac is the discriminant. The d…

The graph of an exponential function with a base greater than…

A line across which a figure is "flipped" to create a reflecte…

complex numbers

numbers written in the form a+bi where a and b are real number…

discriminant

In the quadratic formula, b^2 - 4ac is the discriminant. The d…

equation of parallel/perpendicular to a…

consistent and independent

consistent and dependent

inconsistent

y=mx+b; fill in for points/slope/ if given 'perpendicular to'…

exactly one solution

infinite # of solutions

no solution

equation of parallel/perpendicular to a…

y=mx+b; fill in for points/slope/ if given 'perpendicular to'…

consistent and independent

exactly one solution

function

dependent variable

independent variable

domain

a relation in which each value of the independent variable tak…

The variable appearing second in the ordered pair (on the y ax…

the variable appearing first in the ordered pair (on the x axi…

the set of permissible values of the independent variable (the…

function

a relation in which each value of the independent variable tak…

dependent variable

The variable appearing second in the ordered pair (on the y ax…

X intercepts

Hole

Horizontal asymptote ... Degree of num<den…

Horizontal asymptote Degree of num=denom

Set numerator equal to zero(factored form)

Common factor: factored form to solve for y

Y=0

Ratio of leading coefficients

X intercepts

Set numerator equal to zero(factored form)

Hole

Common factor: factored form to solve for y

Arithmetic Recursive formula

Geometric Recursive formula

Summing the first "n" terms of an arith…

If the summation converges then

An = (An - 1) + d

An = (An - 1) * r

S = (A1 + An) ... --------- * n... 2

The absolute value of R is less than 1 , so ... S = A1 ... -----…

Arithmetic Recursive formula

An = (An - 1) + d

Geometric Recursive formula

An = (An - 1) * r

Derivation for Pythagorean Identity

Reciprocal Identities

Tangent and Cotangent Ratio Identities

Pythagorean Identities

x^2 + y^2 = r^2 <--- Pythagorean Theorem... x^2/r^2 + y^2/r^2 <--…

cscθ = 1/sinθ... secθ = 1/cosθ... cotθ = 1/tanθ

tanθ = sinθ/cosθ... cotθ = cosθ/sinθ

cos^2θ + sin^2θ = 1... 1 + tan^2 θ= sec^2θ... cot^2θ + 1 = csc^2θ

Derivation for Pythagorean Identity

x^2 + y^2 = r^2 <--- Pythagorean Theorem... x^2/r^2 + y^2/r^2 <--…

Reciprocal Identities

cscθ = 1/sinθ... secθ = 1/cosθ... cotθ = 1/tanθ

Periodic Functions

Period

Periodic Graphs

Amplitude

Functions that repeat exactly in regular intervals called cycl…

The length of a cycle

Patterns in a graph that repeat

The amplitude of sine and cosine is half the difference betwee…

Periodic Functions

Functions that repeat exactly in regular intervals called cycl…

Period

The length of a cycle

Double- angle identities:

Half -Angle identities:

Signs of X and ... Y depend on the quadran…

The 3 double angle identities of Cos 2…

Can be used to prove trigonometric identities and can be deriv…

Are useful in calculating exact values for trig expressions.

Sine Cos ... Q1 + +... Q2 + -... Q3 - -... Q4 - +

Cos(squared)theta- Sin(squared)theta. ... 2Cos(squared)theta-1…

Double- angle identities:

Can be used to prove trigonometric identities and can be deriv…

Half -Angle identities:

Are useful in calculating exact values for trig expressions.

What is matrix multiplication and sum a…

Rotation matrix =

sin(A + B)=

cos(A + B)=

To find the coordinates of points rotated about the origin on…

a matrix which moves a body as a rigid unit without altering i…

sin A cos B + cos A sin B

cos A cos B - sin A sin B

What is matrix multiplication and sum a…

To find the coordinates of points rotated about the origin on…

Rotation matrix =

a matrix which moves a body as a rigid unit without altering i…

Unlike trigonometric identities, most t…

To solve trigonometric... equations, use t…

Some trigonometric equations can be sol…

If the equation is in quadratic form bu…

solutions

algebraic equations

quadratic equations

quadratic formula

Unlike trigonometric identities, most t…

solutions

To solve trigonometric... equations, use t…

algebraic equations

Reciprocal Identities

Tangent & Cotangent Ratio Identities

Pythagorean Identities

Negative-Angle Identities

tan θ = sin θ/cos θ... cot θ = cos θ/sin θ

sin (-θ) = -sin θ... cos (-θ) = cos θ... tan (-θ) = -tan θ

Reciprocal Identities

Tangent & Cotangent Ratio Identities

tan θ = sin θ/cos θ... cot θ = cos θ/sin θ