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Trigonometri c Functions
| Date post: | 19-Jan-2016 |
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Trigonometric Functions
A Block Data
B Block Data
E Block Data
•Each ratio (O/H, A/H, O/A) per individual groups (angles) is the same regardless of the size of the triangle.
•As the angle increases, the ratio of O/H increases.
•As the angle increases, the ratio of A/H decreases.
•As the angle increase, the ratio of O/A greatly increases.
•The ratio of O/H and A/H sometimes is similar.
Trends:
Calculator
Get it out of your bag
Calculator
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Hit the ‘sin’ button
Type in ’10’
Hit ‘enter’
Calculator
sin (10) = 0.1736481777
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Calculator
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Hit the ‘sin’ button
Type in ’20’
Hit ‘enter’
Calculator
sin (20) = 0.3420201433
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Hit the ‘sin’ button
Type in ’30’
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sin (30) = 0.5
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What does this mean?
Ɵ
H
O
A
The ratio of the opposite side length divided by the hypotenuse side length is equal to the sin of the
reference angle.
sin Ɵ =
sin Ɵ =
Calculator
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Hit the ‘cos’ button
Type in ’10’
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cos (10) = 0.984807753
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Calculator
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Hit the ‘cos’ button
Type in ’20’
Hit ‘enter’
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cos (20) = 0.9396926208
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Hit the ‘cos’ button
Type in ’30’
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Calculator
cos (30) = 0.8660254038
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What does this mean?
Ɵ
H
O
A
The ratio of the adjacent side length divided by the hypotenuse side length is equal to the cos of the
reference angle.
cos Ɵ =
cos Ɵ =
Calculator
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Hit the ‘tan’ button
Type in ’10’
Hit ‘enter’
Calculator
tan (10) = 0.1763269807
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Calculator
Zoom In
Hit the ‘tan’ button
Type in ’20’
Hit ‘enter’
Calculator
tan (20) = 0.3639702343
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Calculator
Zoom In
Hit the ‘tan’ button
Type in ’30’
Hit ‘enter’
Calculator
tan (30) = 0.5773502692
Does this number appear on our spreadsheet anywhere?
What does this mean?
Ɵ
H
O
A
The ratio of the opposite side length divided by the adjacent side length is equal to the tan of the reference
angle.
tan Ɵ =
tan Ɵ =
Trigonometric Functions
Ɵ
H
O
A
tan Ɵ = sin Ɵ = cos Ɵ =
SOH CAH TOA
