#### Study sets matching "vocabulary math formulas trigonometry"

#### Study sets matching "vocabulary math formulas trigonometry"

Difference Formula for Cosine

Sum Formula for Cosine

Double Angle Formula for Cosine

Power-Reducing Formula for Cosine

cos(α-β) = cos(α)cos(β) + sin(α)-sin(β)

cos(α-β) = cos(α)cos(β) - sin(α)-sin(β)

cos(2θ) = cos²(θ) - sin²(θ)

cos²(θ) = (1 + cos(2θ)) / 2

Difference Formula for Cosine

cos(α-β) = cos(α)cos(β) + sin(α)-sin(β)

Sum Formula for Cosine

cos(α-β) = cos(α)cos(β) - sin(α)-sin(β)

Pythagorean Theorem:

The Distance Formula:

Isosceles Right Triangle:

Sine, Cosine and Tangent Functions:

Relates the lengths of the sides of a right triangle. It state…

An application of the Pythagorean Theorem to find the distance…

A right triangle with two sides of the same length.

These functions relate an acute angle of a right triangle to t…

Pythagorean Theorem:

Relates the lengths of the sides of a right triangle. It state…

The Distance Formula:

An application of the Pythagorean Theorem to find the distance…

Angle

Standard Position of an Angle

Positive Angle

Negative Angle

Initial side and terminal side with common vertex

With initial side on positive x-axis and vertex on origin

Counterclockwise direction

Clockwise direction

Angle

Initial side and terminal side with common vertex

Standard Position of an Angle

With initial side on positive x-axis and vertex on origin

trigonometry

angle

initial side

terminal side

meaning "measurement of triangles"

determined by rotating a ray (half-line) about its endpoint

starting position of the ray

position of the ray after rotation

trigonometry

meaning "measurement of triangles"

angle

determined by rotating a ray (half-line) about its endpoint

Sine Rule (Finding a Length)

Sine Rule (Finding an Angle)

Cosine Rule (Finding a Length)

Cosine Rule (Finding an Angle)

a ÷ sinA = b ÷ sinB = c ÷ sinC

sinA ÷ a = sinB ÷ b = sinC ÷c

a² = b² + c² - 2bc × cosA

cosA = (b² + c² - a²) ÷ 2bc

Sine Rule (Finding a Length)

a ÷ sinA = b ÷ sinB = c ÷ sinC

Sine Rule (Finding an Angle)

sinA ÷ a = sinB ÷ b = sinC ÷c

Area of a triangle

Pythagorean Theorem

30-60-90 relationship

45-45-90 relationship

A=1/2bh

a²+b²=c²

Hyp. = short leg(2) ....or.... Long leg= short leg(square root…

the legs of the triangle are congruent and the length of the h…

Area of a triangle

A=1/2bh

Pythagorean Theorem

a²+b²=c²

Integer

Rational

Irrational

Real numbers

...-2,-1, 0, 1, 2, ...

numbers that can be written as fractions (includes repeating a…

numbers that can't be written as fractions

not imaginary

Integer

...-2,-1, 0, 1, 2, ...

Rational

numbers that can be written as fractions (includes repeating a…

SOH

CAH

TOA

Law Of Cosines

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

a² + b² - 2ab(sinC)=c²... a² + c² - 2ac(sinB)=b²... b² + c² - 2bc(si…

SOH

Sine=Opposite/Hypotenuse

CAH

Cosine=Adjacent/Hypotenuse

2.1 ... Line

2.2... Plane

2.3... Line

2.4... Plane

Through any two points, there is exactly one line.

Through any three non collinear points, there is exactly one p…

A line contains at least two points.

A plane contains at least three non collinear points.

2.1 ... Line

Through any two points, there is exactly one line.

2.2... Plane

Through any three non collinear points, there is exactly one p…