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Created by
Alex Fahy
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Cards (29)
What mathematical branch studies right angle triangles?
Trigonometry
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What does trigonometry study in right angle triangles?
Relationships
between sides and angles
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How can trigonometry help with unknown side lengths?
By using known
angles
and side lengths
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What is the significance of the angle Theta in a right angle triangle?
It determines the
ratios
of the sides
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What is the longest side of a right angle triangle called?
Hypotenuse
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How is the opposite side labeled in a right angle triangle?
O
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How is the adjacent side labeled in a right angle triangle?
A
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What are the three main trigonometric functions?
Sine
,
cosine
,
tangent
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What does the sine function represent?
Opposite
over
hypotenuse
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What does the cosine function represent?
Adjacent
over
hypotenuse
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What does the tangent function represent?
Opposite
over
adjacent
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How can you remember the trigonometric functions' ratios?
Sine
=
Opposite
/ Hypotenuse
Cosine
= Adjacent /
Hypotenuse
Tangent = Opposite /
Adjacent
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What is the first step in solving a trigonometric problem?
Label the
unknown
sides
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In a triangle with an angle of 35° and hypotenuse of 12 m, how do you find the opposite side?
Use
sine
function
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What is the sine of 35° approximately equal to?
0.57
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How do you isolate X in the equation
sin
(
35
°
)
=
\sin(35°) =
sin
(
35°
)
=
x
12
\frac{x}{12}
12
x
?
Multiply both sides by 12
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In a triangle with an angle of 48° and a known side length of 15 m, which function do you use to find the opposite side?
Tangent function
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What is the tangent of 48° approximately equal to?
1.11
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How do you find X in the equation
tan
(
48
°
)
=
\tan(48°) =
tan
(
48°
)
=
15
X
\frac{15}{X}
X
15
?
Divide 15 by
1.11
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How do you find an angle using known side lengths?
Use
inverse trigonometric functions
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In a triangle with sides 105 m and 33 m, which function do you use to find the angle?
Sine
function
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What is the sine ratio for the sides 33 m and 105 m?
0.314
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How do you find Theta from
sin
(
Θ
)
=
\sin(\Theta) =
sin
(
Θ
)
=
0.314
0.314
0.314
?
Use the
inverse sine
function
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What is the angle Theta when
sin
(
Θ
)
=
\sin(\Theta) =
sin
(
Θ
)
=
0.314
0.314
0.314
?
18.3°
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In a triangle with sides 17 m and 12 m, which function do you use to find the angle?
Cosine
function
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What is the cosine ratio for the sides 12 m and 17 m?
0.71
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How do you find Theta from
cos
(
Θ
)
=
\cos(\Theta) =
cos
(
Θ
)
=
0.71
0.71
0.71
?
Use the
inverse cosine
function
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What is the angle Theta when
cos
(
Θ
)
=
\cos(\Theta) =
cos
(
Θ
)
=
0.71
0.71
0.71
?
45.1°
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What are the key steps in solving trigonometric
problems?
Label the sides of the triangle
Identify the appropriate
trigonometric function
Substitute known values
Solve for the unknown
Use
inverse functions
if needed
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