#### Study sets matching "maths trigonometry"

#### Study sets matching "maths trigonometry"

hypotenuse

opposite

adjacent

sine = ??

the longest length in a right angled triangle.

the side directly opposite the right angle in a triangle.

the same side that the right angle connects to in a triangle.

opposite divided by hypotenuse

hypotenuse

the longest length in a right angled triangle.

opposite

the side directly opposite the right angle in a triangle.

Trigonometry

Right angled triangle

Hypotenuse

Opposite side

The branch of mathematics that deals with the relationship be…

A triangle with one 90° angle.

Longest side of a right angled triangle.

The side opposite the reference angle in a right angled trian…

Trigonometry

The branch of mathematics that deals with the relationship be…

Right angled triangle

A triangle with one 90° angle.

Trigonometry

Hypotenuse

Adjacent

Opposite

Trigonometry is a branch of mathematics that studies relation…

A is the longest side of a right-angled triangle, the side op…

(of a pair of angles) formed on the same side of a straight l…

Between opposite sides of the intersection of two lines.

Trigonometry

Trigonometry is a branch of mathematics that studies relation…

Hypotenuse

A is the longest side of a right-angled triangle, the side op…

What is the arc length formula? ... Rearr…

What is the arc length formula? ... Rearr…

What is the sector area formula? ... Rear…

What is the sector area formula? ... Rear…

R = area/angle... *all in radians!

Angle = area/radius... *all in radians!

√2A/angle... *all in radians!

2A/r2... *all in radians!

What is the arc length formula? ... Rearr…

R = area/angle... *all in radians!

What is the arc length formula? ... Rearr…

Angle = area/radius... *all in radians!

Trigonometry

Sine Ratio

Cosine Ratio

Tangent Ratio

Is a relationship between side lengths and angles sizes in tr…

Sine of angle (theta) = length of opposite side divided by le…

Cosine of angle (theta) = Length of adjacent side divided by…

Tangent of angle (theta) = Length of opposite side divided by…

Trigonometry

Is a relationship between side lengths and angles sizes in tr…

Sine Ratio

Sine of angle (theta) = length of opposite side divided by le…

SOHCAHTOA

Pythagoras's Theorem

Sine rule

Cosine rule

Name the acronym used to remember how to find angles in a rig…

We use __________ __________ when we want to find lengths in…

We use the __________ __________ when opposite angles and sid…

We use the __________ __________ when we are given at least t…

SOHCAHTOA

Name the acronym used to remember how to find angles in a rig…

Pythagoras's Theorem

We use __________ __________ when we want to find lengths in…

What are the trig ratios?

How do you find an angle using trig ra…

How do you do worded trig ratio questi…

How do you find the area of a triangle…

1. Identify the sides (hypotenuse, opposite, or adjacent)... 2.…

1. Draw a diagram... 2. Label the sides (opposite, adjacent, hyp…

1. Split the triangle into right angled triangles... 2. Label th…

What are the trig ratios?

How do you find an angle using trig ra…

1. Identify the sides (hypotenuse, opposite, or adjacent)... 2.…

Pythagoras' Theorem

Bearings

Trigonometry Triangles

Sine Rule

a^2 + b^2 = c^2... c = hypotenuse (longest side)... 3-D Pythagoras…

Always calculate angle clockwise from north and bearings are…

Use for triangles that are right angled. Remember by - SOH, C…

For non right angled triangles.... To find a side (given 2 angle…

Pythagoras' Theorem

a^2 + b^2 = c^2... c = hypotenuse (longest side)... 3-D Pythagoras…

Bearings

Always calculate angle clockwise from north and bearings are…

Angle

Original ray

Second ray

Positive angles

Formed by rotating a given ray about its endpoint to some ter…

Initial side of an angle

Terminal side of an angle

Angles formed by a counterclockwise rotation

Angle

Formed by rotating a given ray about its endpoint to some ter…

Original ray

Initial side of an angle

Define 45, 45, 90 Triangle

Define 30, 60, 90 Triangle

How to find the hypotenuse of a 45, 45…

How to find the legs of a 45, 45, 90 t…

Right Isosceles

Right Scalene

The length of the legs times the square root of 2

Take the hypotenuse divided by the square root of 2 OR use th…

Define 45, 45, 90 Triangle

Right Isosceles

Define 30, 60, 90 Triangle

Right Scalene

Trigonometric ratio

Tangent

Sine

Cosine

ratio that describes a relationship between a side and single…

A line that just touches a curve at one point, without cuttin…

The length of opposite side divided by the length of the hypo…

The length of the adjacent side divided by the length of the…

Trigonometric ratio

ratio that describes a relationship between a side and single…

Tangent

A line that just touches a curve at one point, without cuttin…

sine (sin)

cosine (cos)

tangent (tan)

cosecant (csc)

The ratio of the length of the opposite side to the length of…

The ratio of the length of the adjacent side to the length of…

The ratio of the length of the opposite side to the length of…

The reciprocal of the sine function.

sine (sin)

The ratio of the length of the opposite side to the length of…

cosine (cos)

The ratio of the length of the adjacent side to the length of…

Cosine rule for sides

Cosine rule for angles

Sine rule for sides

Sine rule for angles

a2 = b2 + c2 - 2bc cosA... (Square root amswer)

CosA = b2 + c2 - a2... 2bc... A = Shift cos

a b... sinA = sinB... a = b x sinA... sinB

sine(A) sine(B)... a = b

Cosine rule for sides

a2 = b2 + c2 - 2bc cosA... (Square root amswer)

Cosine rule for angles

CosA = b2 + c2 - a2... 2bc... A = Shift cos

Pythagoras Theorem

Three Trigonometrical Ratios

Easy acronym to find and determine eac…

Sine rule

hypotenuse^2 = leg1^2 + leg2^2 or b^2 = a^2 + c^2

Sine, Cosine, Tangent

SohCahToa - Sine=opposite/hypotenuse, Cosine=adjacent/hypoten…

a/SinA = b/SinB = c/SinC... -used when you are given two angles…

Pythagoras Theorem

hypotenuse^2 = leg1^2 + leg2^2 or b^2 = a^2 + c^2

Three Trigonometrical Ratios

Sine, Cosine, Tangent

Vertices of a triangle are UPPER CASED…

Similar Triangles have the same shape…

Angle of Depression

Angle of Elevation

side that is opposite each angle is labelled with the corresp…

Properties of Similar Triangles ... 1.) corresponding angles are…

is the angle between the horizontal and the line of sight whe…

is the angle between the horizontal and the line of sight whe…

Vertices of a triangle are UPPER CASED…

side that is opposite each angle is labelled with the corresp…

Similar Triangles have the same shape…

Properties of Similar Triangles ... 1.) corresponding angles are…

Sin (SOH)=

Cos (CAH)=

Tan (TOA)=

Inverse trigonometric functions:

length of opposite... --------------------... Length of hypotenuse

Length of adjacent ... -------------------... Length of Hypotenuse

length of Opposite... -------------------... Length of adjacent

Used to find the angles in right angled triangles ... eg. θ=sin(…

Sin (SOH)=

length of opposite... --------------------... Length of hypotenuse

Cos (CAH)=

Length of adjacent ... -------------------... Length of Hypotenuse