Difference between revisions of "Activity1 Basic Trignometric Ratios"

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=== Materials/ Resources needed ===
 
=== Materials/ Resources needed ===
Click here to [[:File:Basic Trigonometic Functions.ggb|open]] the file
+
Digital - Click here to [[:File:Basic Trigonometic Functions.ggb|open]] the file
 +
 
 +
Non digital - Protractor,ruler.
  
 
=== Process (How to do the activity) ===
 
=== Process (How to do the activity) ===
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# 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)
 
# Identify the name of the ratios in Trigonometry.
 
# Identify the name of the ratios in Trigonometry.
# Measure adjacent side and opposite side 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"
 +
|'''RATIO'''
 +
|'''TRIGONOMETRIC NAME OF THE RATIO'''
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|'''VALUES OF THE TRIGONOMETRIC RATIOS FOR THE ANGLE'''
 +
|-
 +
|CB/AC
 +
 
 +
= Opposite/Hypotenuse
 +
|Sine of angle θ
 +
|
 +
|-
 +
|BA/AC =
 +
 
 +
Adjacent / Hypotenuse
 +
|Cosine of angle θ
 +
|
 +
|-
 +
|CB/BA
 +
 
 +
=Opposite / Adjacent
 +
|Tangent of angle θ
 +
|
 +
|-
 +
|AC/CB
 +
 
 +
=Hypotenuse/ Opposite
 +
|Cosecant of angle θ
 +
|
 +
|-
 +
|AC/BA
 +
 
 +
=Hypotenuse / Adjacent
 +
|Secant of angle θ
 +
|
 +
|-
 +
|BA/CB
 +
 
 +
=Adjacent/ Hypotenuse
 +
|Cotangent of angle θ
 +
|
 +
|}
  
 
=== Evaluation at the end of the activity ===
 
=== Evaluation at the end of the activity ===
Find the six trigonometric functions of the triangle?
+
# Find the six trigonometric ratios of the triangle?
 
+
# Find the measure of each trigonometric ratios of the triangle?
 
Go back - [[Trigonometry|click here]]
 
Go back - [[Trigonometry|click here]]

Revision as of 12:26, 29 June 2020

Objectives

Students will be able to identify the adjacent/opposite side, with respect to theta and the hypotenuse of a triangle and define the six trigonometric ratios of an acute angle of triangle.

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

Meaning of ratio,know about hypotenuse, short leg, long leg,right angle and vertices of right triangle and how to measure side and angle by using ruler and Protractor and also how to convert angle measure from degree to radians and radians to degree.

Materials/ Resources needed

Digital - Click here to open the file

Non digital - Protractor,ruler.

Process (How to do the activity)


Download this geogebra file from this link.

Activity:

  1. let us consider one right angle triangle and write the possible ratios of its sides with respect to its acute angle.
  2. 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)
  3. Identify the name of the ratios in Trigonometry.
  4. Measure adjacent side ,opposite side and hypotenuse in a given triangle and record it on the table
RATIO TRIGONOMETRIC NAME OF THE RATIO VALUES OF THE TRIGONOMETRIC RATIOS FOR THE ANGLE
CB/AC

= Opposite/Hypotenuse

Sine of angle θ
BA/AC =

Adjacent / Hypotenuse

Cosine of angle θ
CB/BA

=Opposite / Adjacent

Tangent of angle θ
AC/CB

=Hypotenuse/ Opposite

Cosecant of angle θ
AC/BA

=Hypotenuse / Adjacent

Secant of angle θ
BA/CB

=Adjacent/ Hypotenuse

Cotangent of angle θ

Evaluation at the end of the activity

  1. Find the six trigonometric ratios of the triangle?
  2. Find the measure of each trigonometric ratios of the triangle?

Go back - click here