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Activity1 Basic Trignometric Ratios (view source)
Revision as of 18:46, 12 July 2020
, 18:46, 12 July 2020no edit summary
=== Materials/ Resources needed ===
=== Materials/ Resources needed ===
Digital - Click here to [[:File:Basic Trigonometic Functions.ggb|open]] the file
Digital - Click here to [[:File:Trigonometric Ratios.ggb|open]] the file
Non digital - Protractor,ruler.
Non digital - Protractor,ruler.
=== Process (How to do the activity) ===
=== Process (How to do the activity) ===
{{Geogebra|nekbgkkr}}Activity:
{{Geogebra|mwgu25fh}}
Activity:
# let us consider one right angle triangle and write the possible ratios of its sides with respect to its acute angle.
# let us consider one right angle triangle and write the possible ratios of its sides with respect to its acute angle.
# Triangle has 3 sides.Using the sides of triangle,we can have six different ratios.(To write the ratio(fraction)numerator can be written in 3 ways and denominator in 2 ways, both can be written in 3*2=6 ways)
# Triangle has 3 sides.Using the sides of triangle,we can have six different ratios.(To write the ratio(fraction)numerator can be written in 3 ways and denominator in 2 ways, both can be written in 3*2=6 ways)
# Measure adjacent side ,opposite side and hypotenuse in a given triangle and record it on the table
# Measure adjacent side ,opposite side and hypotenuse in a given triangle and record it on the table
{| class="wikitable sortable"
{| class="wikitable"
|'''RATIO'''
|'''Ratio'''
|'''TRIGONOMETRIC NAME OF THE RATIO'''
|'''Trigonometric names for the ratios'''
|'''VALUES OF THE TRIGONOMETRIC RATIOS FOR THE ANGLE'''
|'''Values of the trigonometric ratio for the angle'''
|-
|-
|CB/AC
|AC/CE
= Opposite/Hypotenuse
= Opposite side / Hypotenuse
|Sine of angle θ
|Sine of angle θ
|
|
|-
|-
|BA/AC =
|AE/CE =
Adjacent / Hypotenuse
Adjacent side / Hypotenuse
|Cosine of angle θ
|Cosine of angle θ
|
|
|-
|-
|CB/BA
|AC/AE
=Opposite / Adjacent
=Opposite side / Adjacent side
|Tangent of angle θ
|Tangent of angle θ
|
|
|-
|-
|AC/CB
|CE/AC
=Hypotenuse/ Opposite
=Hypotenuse / Opposite side
|Cosecant of angle θ
|Cosecant of angle θ
|
|
|-
|-
|AC/BA
|CE/AE
=Hypotenuse / Adjacent
=Hypotenuse / Adjacent side
|Secant of angle θ
|Secant of angle θ
|
|
|-
|-
|BA/CB
|AE/AC
=Adjacent/ Hypotenuse
=Adjacent side / Opposite side
|Cotangent of angle θ
|Cotangent of angle θ
|
|