Study sets matching "trigonometry"

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Study sets matching "trigonometry"

36 terms
Trigonometry
Trigonometry - means triangle measure
Circle
Names of a triangle
Trigonometric Functions
The relationships between sides and angles of triangles - in…
SOH CAH TOA (sine is opposite over hypotenuse, etc.)
Trigonometry - means triangle measure
The relationships between sides and angles of triangles - in…
Circle
19 terms
Trigonometry
Pythagorean Theorem
Sum of Angles in a Triangle
Triangle Side Inequality Theorem
Measure of an Exterior Angle of a Tria…
180 degrees
The sum of any two sides of a triangle must be GREATER than t…
The sum of any two angles of a triangle is equal to the exter…
Pythagorean Theorem
Sum of Angles in a Triangle
180 degrees
8 terms
Trigonometry
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
63 terms
TRIGONOMETRY
The Domain of the Sine Function is what?
The Range of the Sine Function is what?
The Domain of the Cosine Function is w…
The Range of the Cosine Function is wh…
It is the set of all real numbers.
All real numbers from -1 to 1, inclusive.
It is the set of all real numbers
All real numbers from -1 to 1, inclusive.
The Domain of the Sine Function is what?
It is the set of all real numbers.
The Range of the Sine Function is what?
All real numbers from -1 to 1, inclusive.
12 terms
Trigonometry
opposite leg
adjacent leg
SOHCAHTOA
sine (SIN)
the leg located opposite an angle of reference in a right tri…
the leg located next to an angle of reference in a right tria…
a mnemonic (memory) device that is used to remember the 3 bas…
opposite/hypotenuse
opposite leg
the leg located opposite an angle of reference in a right tri…
adjacent leg
the leg located next to an angle of reference in a right tria…
17 terms
Trigonometry
Pythagorean Theorem
Trigonometry
Right triangle
Trigonometric Ratio
in a right triangle the square of the length of the hypotenus…
the branch of mathematics dealing with the relations of the s…
A triangle that has a 90 degree angle.
A ratio of the lengths of two sides in a right triangle.
Pythagorean Theorem
in a right triangle the square of the length of the hypotenus…
Trigonometry
the branch of mathematics dealing with the relations of the s…
35 terms
Trigonometry
y = sin(x)
y = cos(x)
y = tan(x)
Period (definition)
The interval of repetition for the function
y = sin(x)
y = cos(x)
Trigonometry
Pythagorean Theorem
Trigonometry
Right triangle
Trigonometric Ratio
in a right triangle the square of the length of the hypotenus…
the branch of mathematics dealing with the relations of the s…
A triangle that has a 90 degree angle.
A ratio of the lengths of two sides in a right triangle.
Pythagorean Theorem
in a right triangle the square of the length of the hypotenus…
Trigonometry
the branch of mathematics dealing with the relations of the s…
25 terms
Trigonometry
sin(A)
cos(A)
tan(A)
csc(x)
a/c
b/c
a/b
1/sin(x)
sin(A)
a/c
cos(A)
b/c
Trigonometry
1/sinx
1/cosx
sinx/cosx
1/tanx
cscx
secx
tanx as two trig functions
cotx as one trig function
1/sinx
cscx
1/cosx
secx
Trigonometry
opposite leg
adjacent leg
SOHCAHTOA
sine (SIN)
the leg located opposite an angle of reference in a right tri…
the leg located next to an angle of reference in a right tria…
a mnemonic (memory) device that is used to remember the 3 bas…
opposite/hypotenuse
opposite leg
the leg located opposite an angle of reference in a right tri…
adjacent leg
the leg located next to an angle of reference in a right tria…
7 terms
Trigonometry
Pythagorean Theorem
Sum of Angles in a Triangle
Triangle Side Inequality Theorem
Measure of an Exterior Angle of a Tria…
180 degrees
The sum of any two sides of a triangle must be GREATER than t…
The sum of any two angles of a triangle is equal to the exter…
Pythagorean Theorem
Sum of Angles in a Triangle
180 degrees
6 terms
Trigonometry
Opposite Leg
Adjacent Leg
Sine
Cosine
The leg across from the angle (never is the hypotenuse).
The leg next to the angle (never is the hypotenuse).
The opposite leg divided by the hypotenuse.
The adjacent leg divided by the hypotenuse.
Opposite Leg
The leg across from the angle (never is the hypotenuse).
Adjacent Leg
The leg next to the angle (never is the hypotenuse).
Trigonometry
Area of any triangle =
Law of Sines
The Law of Cosines
Reciprocal Identities
1/2(a)(b)(sinC)... 1/2(b)(c)(sinA)... 1/2(a)(c)(sinB)
Area of any triangle =
1/2(a)(b)(sinC)... 1/2(b)(c)(sinA)... 1/2(a)(c)(sinB)
Law of Sines
Trigonometry
Hypotenuse
Opposite
Adjacent
sinθ
the side of a right triangle opposite the right angle
the side length of a triangle opposite the right angle
the side length of a triangle next to a right angle
the ratio of the opposite side to the hypotenuse in a right-a…
Hypotenuse
the side of a right triangle opposite the right angle
Opposite
the side length of a triangle opposite the right angle
Trigonometry
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
14 terms
Trigonometry
Pythagorean Theorem
Pythagorean Triple
Converse of the Pythagorean Theorem
obtuse triangle
In a right triangle, the sum of square of the legs is equal t…
a set of three whole numbers that
Used to determine whether certain lengths represent sides of…
when the square of the longest side is GREATER than the sum o…
Pythagorean Theorem
In a right triangle, the sum of square of the legs is equal t…
Pythagorean Triple
a set of three whole numbers that
15 terms
Trigonometry
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
13 terms
Trigonometry
sine (SOH)
cos (CAH)
tan (TOA)
sin/cos
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
tan
sine (SOH)
sin = opp/hyp
cos (CAH)
cos = adj/hyp
10 terms
Trigonometry
hypotenuse
adjacent
opposite
sine
the side of the triangle opposite the right angle
the side of the triangle next to the labelled angle
the side opposite the labelled angle
opposite over hypotenuse
hypotenuse
the side of the triangle opposite the right angle
adjacent
the side of the triangle next to the labelled angle
14 terms
Trigonometry, Trigonometry, Trigonometry, Trigonometry
hypotenuse
opposite
sine
cosine
the side of the triangle opposite the right angle
the side opposite the labelled angle
opposite over hypotenuse
adjacent over hypotenuse
hypotenuse
the side of the triangle opposite the right angle
opposite
the side opposite the labelled angle
Trigonometry
y = sin(x)
y = cos(x)
y = tan(x)
Period (definition)
The interval of repetition for the function
y = sin(x)
y = cos(x)
9 terms
Trigonometry :(
1/2
(√3)/2
(√3)/3
(√2)/
sin30
cos30
tan30
sin45
1/2
sin30
(√3)/2
cos30
73 terms
Trigonometry
1
cos²x
sin²x
sec²x
cos²x+sin²x=
1 - sin²x =
1 - cos²x =
1+tan²x=
1
cos²x+sin²x=
cos²x
1 - sin²x =
17 terms
trigonometry
30º
45º
60º
0
π/6
π/4
π/3
0
30º
π/6
Trigonometry
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
Trigonometry
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
48 terms
Trigonometry
0
1
0
½
sin2π
cos2π
tan2π
sinπ/6
0
sin2π
1
cos2π
12 terms
Trigonometry
Sine
Cosine
Tangent
Sin(30º)
opposite leg divided by the hypotenuse
adjacent leg divided by the hypotenuse
opposite leg divided by the adjacent leg
½
Sine
opposite leg divided by the hypotenuse
Cosine
adjacent leg divided by the hypotenuse
8 terms
Trigonometry
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
64 terms
Trigonometry
complementary angles
supplementary angles
acute angle
angle of rotation
two angles whose measure have a sum of 90 degrees
two angles whose measure have a sum of 180 degrees
an angle that measures greater than 0 degrees and less than 9…
an angle formed by a rotating ray, called the terminal side,…
complementary angles
two angles whose measure have a sum of 90 degrees
supplementary angles
two angles whose measure have a sum of 180 degrees
18 terms
Trigonometry
Hypotenuse
Opposite
Adjacent
sinθ
the side of a right triangle opposite the right angle
the side length of a triangle opposite the right angle
the side length of a triangle next to a right angle
the ratio of the opposite side to the hypotenuse in a right-a…
Hypotenuse
the side of a right triangle opposite the right angle
Opposite
the side length of a triangle opposite the right angle
42 terms
Trigonometry
cscθ = ?... (basic 8 identities)
secθ = ?... (basic 8 identities)
cotθ = ?... (basic 8 identities)
tanθ = ?... (basic 8 identities)
1 / sinθ
1 / cosθ
1 / tanθ
sinθ / cosθ
cscθ = ?... (basic 8 identities)
1 / sinθ
secθ = ?... (basic 8 identities)
1 / cosθ
Trigonometry
hypotenuse
adjacent
opposite
sine
the side of the triangle opposite the right angle
the side attached to the acute angle in question
the side opposite the acute angle in question
opposite over hypotenuse
hypotenuse
the side of the triangle opposite the right angle
adjacent
the side attached to the acute angle in question
Trigonometry
opposite over hypotenuse
adjacent over hypotenuse
opposite over adjacent
SOH CAH TOA
sine
cosine
tangent
letters for trigonometric ratios
opposite over hypotenuse
sine
adjacent over hypotenuse
cosine
14 terms
Trigonometry
Hypotenuse
Opposite
Adjacent
sinθ
the side of a right triangle opposite the right angle
the side length of a triangle opposite the right angle
the side length of a triangle next to a right angle
the ratio of the opposite side to the hypotenuse in a right-a…
Hypotenuse
the side of a right triangle opposite the right angle
Opposite
the side length of a triangle opposite the right angle
31 terms
Trigonometry
sinx for a right triangle
cosx for a right triangle
tanx for a right triangle
cotx
Opposite/Hypotenuse
Adjacent/Hypotenuse
Opposite/Adjacent
1/tanx
sinx for a right triangle
Opposite/Hypotenuse
cosx for a right triangle
Adjacent/Hypotenuse
Trigonometry
Area of any triangle =
Law of Sines
The Law of Cosines
Reciprocal Identities
1/2(a)(b)(sinC)... 1/2(b)(c)(sinA)... 1/2(a)(c)(sinB)
Area of any triangle =
1/2(a)(b)(sinC)... 1/2(b)(c)(sinA)... 1/2(a)(c)(sinB)
Law of Sines
18 terms
Trigonometry
Reference Angle
Hypotenuse
Opposite Side
Adjacent side
the angle given to solve a trig question
the side of a right triangle opposite the right angle
the side opposite the reference angle
the side adjacent (next to) the reference angle that is NOT t…
Reference Angle
the angle given to solve a trig question
Hypotenuse
the side of a right triangle opposite the right angle
Trigonometry
Sin A (right triangle)
Cos A (right triangle)
Tan A (right triangle)
Inverse Trigonometric ratios
leg opposite angle A / hypotenuse OR a/c
leg adjacent to angle A/ hypotenuse OR b/c
leg opposite angle A / leg adjacent to angle A OR a/b
If sin A = x, then sin⁻¹ x = m∠A ... (sin⁻¹ x is read as sine in…
Sin A (right triangle)
leg opposite angle A / hypotenuse OR a/c
Cos A (right triangle)
leg adjacent to angle A/ hypotenuse OR b/c
18 terms
Trigonometry
Hypotenuse
Opposite
Adjacent
sinθ
the side of a right triangle opposite the right angle
the side length of a triangle opposite the right angle
the side length of a triangle next to a right angle
the ratio of the opposite side to the hypotenuse in a right-a…
Hypotenuse
the side of a right triangle opposite the right angle
Opposite
the side length of a triangle opposite the right angle
Trigonometry
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
Trigonometry
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
Trigonometry
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
15 terms
Trigonometry
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
8 terms
Trigonometry
Radians
Sine
Cosine
Tangent
An angle's measurement in radians is numerically equal to the…
Opposite Side divided by Hypotenuse
Adjacent Side divided by Hypotenuse
Opposite Side divided by Adjacent Side
Radians
An angle's measurement in radians is numerically equal to the…
Sine
Opposite Side divided by Hypotenuse
72 terms
Trigonometry
What does the word trigonometry mean?
Trig is made up of
a comparison of two numbers
trigonometry is the comparison between
triangle measure
ratios
ratio
sides of a triangle
What does the word trigonometry mean?
triangle measure
Trig is made up of
ratios
Trigonometry
opposite leg
adjacent leg
SOHCAHTOA
sine (SIN)
the leg located opposite an angle of reference in a right tri…
the leg located next to an angle of reference in a right tria…
a mnemonic (memory) device that is used to remember the 3 bas…
opposite/hypotenuse
opposite leg
the leg located opposite an angle of reference in a right tri…
adjacent leg
the leg located next to an angle of reference in a right tria…
Trigonometry
leg
hypotenuse
sine (sin)
cosine (cos)
In right triangle the legs form the right angle. The legs are…
The longest side of a right triangle. The hypotenuse is acros…
the trigonometric function that is equal to the ratio of the…
the trigonometric function that is equal to the ratio of the…
leg
In right triangle the legs form the right angle. The legs are…
hypotenuse
The longest side of a right triangle. The hypotenuse is acros…
8 terms
Trigonometry
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
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