Study sets matching "maths trigonometry"

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Study sets matching "maths trigonometry"

14 terms
Maths: Trigonometry
SOH CAH TOA rule
SOH
CAH
TOA
finding the unknown side or angle in a right angled triangle.…
SINθ=O÷H
COSθ=A÷H
TANθ=O÷A
SOH CAH TOA rule
finding the unknown side or angle in a right angled triangle.…
SOH
SINθ=O÷H
Maths - Trigonometry
Pythagoras' Theorem
Trigonometric Ratios
Sine Rule
Cosine Rule
SOCAHTOA
Pythagoras' Theorem
Trigonometric Ratios
SOCAHTOA
5 terms
Maths - Trigonometry
pythagoras
trigonometry
hypoteneuse
adjacent
C2 = a2 + b2
the study of the sides and angles of a right triangle
the longest side of a right triangle
near or next to the right angle of a triangle
pythagoras
C2 = a2 + b2
trigonometry
the study of the sides and angles of a right triangle
10 terms
Maths trigonometry
Pythagoris
Hypotenuse
Adjacent
Opposite
A2+b2=c2
The longest side on a right angle triangle
The side next to the angle that is not right
Opposite the angle that is not right
Pythagoris
A2+b2=c2
Hypotenuse
The longest side on a right angle triangle
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.
14 terms
Maths: Trigonometry
SOH CAH TOA rule
SOH
CAH
TOA
finding the unknown side or angle in a right angled triangle.…
SINθ=O÷H
COSθ=A÷H
TANθ=O÷A
SOH CAH TOA rule
finding the unknown side or angle in a right angled triangle.…
SOH
SINθ=O÷H
5 terms
Maths -trigonometry
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 - maths
Sin
Cos
Tan
Finding an angle given a ratio
Opposite/Hypotenuse
Adjacent/Hypotenuse
Opposite/Adjacent
_ _ _ -1= given side/ given side
Sin
Opposite/Hypotenuse
Cos
Adjacent/Hypotenuse
11 terms
(Maths) Trigonometry
SOH CAH TOA
Area Formula
Sine Rule
Cosine Rule
A way to remember how to uses the information given on a tria…
1/2 ab sinec
a/sineA = b/sineB = c/sineC
X^2 = a^2 + b^2 - 2 ab sinec
SOH CAH TOA
A way to remember how to uses the information given on a tria…
Area Formula
1/2 ab sinec
Trigonometry (maths)
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…
22 terms
Maths: Trigonometry
π/6
π/4
π/2
π
30°
45°
90°
180°
π/6
30°
π/4
45°
8 terms
Maths trigonometry
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!
Maths - Trigonometry
Important word
Sine
Cos
Tan
SOH-CAH-TOA
Opposite&Hypotenuse
Adjacent&Hypotenuse
Opposite&Adjacent
Important word
SOH-CAH-TOA
Sine
Opposite&Hypotenuse
5 terms
Maths-Trigonometry
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…
Trigonometry - Maths
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…
5 terms
Trigonometry - MATHS
What are the 3 rules of Trigonometry?
SOH
CAH
TOA
SOHCAHTOA
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
What are the 3 rules of Trigonometry?
SOHCAHTOA
SOH
Sin = Opposite/Hypotenuse
10 terms
Maths Trigonometry
SohCahToa
Sine
Cosine
Tangent
SineCosineTangent
Opposite Hypotenuse
Adjacent Hypotenuse
Opposite Adjacent
SohCahToa
SineCosineTangent
Sine
Opposite Hypotenuse
Maths: Trigonometry
Right-Angled Side
Right-Angled Hypotenuse
Right-Angled Angles
Sine Rule Angle
side * Sin (angle)
side / Cos (angle)
Cos^-1 (side / side)
Sin^-1 ( Sin (B) / b
Right-Angled Side
side * Sin (angle)
Right-Angled Hypotenuse
side / Cos (angle)
maths-trigonometry
cosine rule sides
cosine rule for angles
sine rule for sides
sin rule for angles
a2=b2+c2-2bc cos A
b2 + c2-a2/2bc
a/sinA = b/sinB = c/sineC
flip the formula
cosine rule sides
a2=b2+c2-2bc cos A
cosine rule for angles
b2 + c2-a2/2bc
Maths Trigonometry
Sine0
Sine30
Sine45
Sine60
0
1/2
1/root2
Root3/2
Sine0
0
Sine30
1/2
Maths - Trigonometry - Trig Ratios
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.…
20 terms
Math Trigonometry
Cos π/2
Sin 3π/2
Cos π/4 = Sin π/4
Tan 0
0
-1
√2/2
0
Cos π/2
0
Sin 3π/2
-1
Maths: Trigonometry and Vectors
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…
Y11 Maths: Trigonometry
Pythagorean Theorem
You are shown a RIGHT triangle. The OP…
You are shown a RIGHT triangle. The HY…
If a² + b² = c², what kind of triangle…
a² + b² = c²
5cm
9cm
Right Triangle
Pythagorean Theorem
a² + b² = c²
You are shown a RIGHT triangle. The OP…
5cm
86 terms
Math : Trigonometry
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
19 terms
Math Trigonometry
Secant
Cotangent
Cosecant
Measure of 90 angle in 30,60,90
hyp/adj
adj/opp
hyp/opp
2
Secant
hyp/adj
Cotangent
adj/opp
18 terms
Math Trigonometry
sin (0)
sin (π/6)
sin (π/4)
sin (π/3)
0
1/2
1/√2
√3/2
sin (0)
0
sin (π/6)
1/2
Math Trigonometry
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
5 terms
Math trigonometry
aas
ssa
asa
sas
Law of sines
Law of sines
Law of sines
Law of cosines
aas
Law of sines
ssa
Law of sines
10 terms
Maths Trigonometry 10P
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…
Math; Trigonometry
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…
Math - Trigonometry
Input
Output
Sine
Cosine
Angle measures (In degrees)
Ratio in decimal form (round to 4 decimal places) (Sine, cosi…
Opposite leg / Hypotenuse
Adjacent leg / hypotenuse
Input
Angle measures (In degrees)
Output
Ratio in decimal form (round to 4 decimal places) (Sine, cosi…
Maths trigonometry
sin(π/6)
sin(π/4)
sin(π/3)
cos(π/6)
1/2
1/√2
√3/2
√3/2
sin(π/6)
1/2
sin(π/4)
1/√2
10 terms
Math Trigonometry
Sine
Cosine
Tangent
Tanø
Opposite/Hypotenuse
Adjacent/Hypotenuse
Opposite/Adjacent
Sinø/Cosø
Sine
Opposite/Hypotenuse
Cosine
Adjacent/Hypotenuse
7 terms
Math: trigonometry
tangent is
cosecant is
secant is
cotangent is
sin/cos
1/sin
1/cos
1/tan or cos/sin
tangent is
sin/cos
cosecant is
1/sin
MATHS-trigonometry
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
9 terms
Math- Trigonometry
Sine
Cosine
Tangent
Cosecant
Opposite/hypotenuse
Adjacent/hypotenuse
Opposite/adjacent
Hypotenuse/opposite
Sine
Opposite/hypotenuse
Cosine
Adjacent/hypotenuse
10 terms
Math Trigonometry
Reciprocal trig ratios
csc
sec
Cot
...
Sin reciprocal ratio
Cos reciprocal ratio
Tan reciprocal ratio
Reciprocal trig ratios
...
csc
Sin reciprocal ratio
11 terms
Math: Trigonometry
tangent ratio
sine ratio
cosine ratio
how to remember ratios
tanX=opposite/adjacent
sinX=opposite/hypotenuse
cosX=adjacent/hypotenuse
SOH CAH TOA... -all ratios only used for right triangles
tangent ratio
tanX=opposite/adjacent
sine ratio
sinX=opposite/hypotenuse
Math trigonometry
Sin 30
Sin 45
Sin 60
Cos 30
1... --... 2
\/2... ----... 2
\/3... ----... 2
\/3... ----... 2
Sin 30
1... --... 2
Sin 45
\/2... ----... 2
Math: Trigonometry
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
12 terms
Math Trigonometry
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…
6 terms
Trigonometry - Math
sin
tan
cos
sec
O/H
O/A
A/H
H/A
sin
O/H
tan
O/A
Math Trigonometry
opp/hyp
adj/hyp
opp/adj
hyp/opp
Sin
Cos
Tan
Csc
opp/hyp
Sin
adj/hyp
Cos
20 terms
math trigonometry
cos45
tan60
cot90
sin0
√2÷2
√3
0
0
cos45
√2÷2
tan60
√3
Math Trigonometry
Sine
Cosine
Tangent
Cosecant
opposite/hypotenuse---y/r
adjacent/hypotenuse---x/r
opposite/adjacent---y/x
opposite of sine---r/y
Sine
opposite/hypotenuse---y/r
Cosine
adjacent/hypotenuse---x/r
16 terms
Math Trigonometry
sin/cos range
even function
odd function
tan∅=
[-1,1]
output does not change (cos)
output does change, goes through y axis (sin)
sin∅/cos∅
sin/cos range
[-1,1]
even function
output does not change (cos)
22 terms
Maths exam (Trigonometry)
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
17 terms
Math trigonometry
Sin=
Cos=
Tan=
Tan(2)=
Opp/hyp
Adj/hyp
Opp/adj
Sin/cos
Sin=
Opp/hyp
Cos=
Adj/hyp
Math Trigonometry
sin²x + cos²x
1 + tan²x
1 + cot²x
cos(-x)
1
sec²x
csc²x
cosx
sin²x + cos²x
1
1 + tan²x
sec²x
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