# Study sets matching "vocabulary math formulas trigonometry"

Sine Sum Formula

Sine Difference Formula

Sine Double Angle Formula

Sine Half Angle Formula

sin(a)cos(B)+cos(a)sin(B)

sin(a)cos(B)-cos(a)sin(B)

2sin(a)cos(a)

Sine Sum Formula

sin(a)cos(B)+cos(a)sin(B)

Sine Difference Formula

sin(a)cos(B)-cos(a)sin(B)

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)

sine law

cosine law

rearranged cosine law

sine

sinA/a = sinB/b = sinC/c

a²=b²+c²-2bc(cosA)

∠A=cos⁻¹((b²+c²-a²)/2bc)

sin(θ) = Opposite / Hypotenuse

sine law

sinA/a = sinB/b = sinC/c

cosine law

a²=b²+c²-2bc(cosA)

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…

Congruent

Scalene

Equilateral

Right

Identical in every respect except position.

No sides of the triangle are equal in length.

All sides of the triangle are the same.

One of the angles of the triangle is 90degrees.

Congruent

Identical in every respect except position.

Scalene

No sides of the triangle are equal in length.

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

Hypotenuse

Adjacent

Opposite

Right Angle

The side opposite the right angle

The side next to the reference angle

The side facing the reference angle

An angle of 90 degrees

Hypotenuse

The side opposite the right angle

Adjacent

The side next to the reference angle

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

edge

face

vertices

A= 1/2 bh... A= 1/2 (base) (height)... A= 1/2…

connectors

flat side (platform)

corners

what is the formula for the area of a triangle

edge

connectors

face

flat side (platform)

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…

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…