Trigo Ratios
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Transcript of Trigo Ratios
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1 Chau Ping2 Szeto Kwok Fai 3 Moy Yee Ping
I would like to give credit to the following people below for the wonderful PowerPoint presentation.
Thank you very much, Ms. Garcia
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Trigonometry (Trigonometry ( 三角幾何三角幾何 )) means means
“ “Triangle” and “MeasurementTriangle” and “Measurement””
Introduction Trigonometric Introduction Trigonometric RatiosRatios
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Adjacent , Opposite Side and Adjacent , Opposite Side and Hypotenuse of a Right Angle Hypotenuse of a Right Angle
TriangleTriangle..
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Adjacent side
Opposite side
hypotenuse
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hypotenuse
Adjacent side
Opposite side
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There are 3 kinds of trigonometric ratios we will learn.
sine ratio
cosine ratio
tangent ratio
Three Types Trigonometric Three Types Trigonometric RatiosRatios
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Sine RatiosSine Ratios
Definition of Sine Ratio. Application of Sine Ratio.
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Definition of Sine Ratio.
1
If the hypotenuse equals to 1
Sin = Opposite sides
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Definition of Sine Ratio.
For any right-angled triangle
Sin = Opposite side
hypotenuses
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Exercise 1
4
7
In the figure, find sin
Sin = Opposite Side
hypotenuses
= 47
= 34.85 (corr to 2 d.p.)
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Exercise 2
11
In the figure, find y
Sin35 = Opposite Side
hypotenuses
y11
y = 6.31 (corr to 2.d.p.)
3535°°
y
Sin35 =
y = 11 sin35
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Cosine RatiosCosine Ratios
Definition of Cosine. Relation of Cosine to the sides of right
angle triangle.
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Definition of Cosine Ratio.
1
If the hypotenuse equals to 1
Cos = Adjacent Side
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Definition of Cosine Ratio.
For any right-angled triangle
Cos = hypotenuses
Adjacent Side
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Exercise 3
3
8
In the figure, find cos
cos = adjacent Side
hypotenuses
= 38
= 67.98 (corr to 2 d.p.)
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Exercise 4
6
In the figure, find x
Cos 42 = Adjacent Side
hypotenuses
6x
x = 8.07 (corr to 2.d.p.)
4242°°
x
Cos 42 =
x =
6Cos 42
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Tangent RatiosTangent Ratios
Definition of Tangent. Relation of Tangent to the sides of
right angle triangle.
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Definition of Tangent Ratio.
For any right-angled triangle
tan = Adjacent Side
Opposite Side
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Exercise 5
3
5
In the figure, find tan
tan = adjacent Side
Opposite side
= 35
= 78.69 (corr to 2 d.p.)
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Exercise 6
z
5
In the figure, find z
tan 22 = adjacent Side
Opposite side
5
z
z = 12.38 (corr to 2 d.p.)
2222
tan 22 =
5
tan 22z =
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ConclusionConclusion
hypotenuse
side oppositesin
hypotenuse
sidedjacent acos
sidedjacent a
side oppositetan
Make Sure that the
triangle is right-angled
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The
END