APPENDIX NO. : 2
A Copy of Twelve well defined behavioural domains
Domain No : I
Relation of Cos 0 and Sec 0
Domain specification :
1.1
Resiprocal of Cos 0
Sec 0 = 1/Cos 0
1.2
Resiprocal of Sec 0
Cos 0 = 1/Sec 0
1.3
Relation of Sec 0 and Cos 0
Sec 0.Cos 0 = 1
Objective of the Domain
The students will be able to
find the values of Sec 0 from the values of Cos 0
find the values of Cos 0 from the values of Sec 0
do calcutation in the given example with the help of the knowledge obtained
Domain No : 2
Relation of Sin 0 and Cosec 0
Domain specification :
2.1
Resiprocal of Sin 0
Cosec 0 = 1/Sin 0
2.2
Resiprocal of Cosec 0
Sin 0 = 1/Cosec 0
2.3
Relation of Cosec 0 and Sin 0
Cosec 0.Sin 0 = 1
Objective of the domain
The students will be able to
find the value of Cosec 0 from Sin 0 value
find the value of Sin 0 from Cosec 0 value.
182
do calculation the given example with the
help of the knowledge obtained.
Domain No : 3
Relation of tan 0 and Cot 0
Domain specification :
3.1
Resiprocal of tan 0
Cot 0 = 1/tan 0
3.2
Resiprocal of Cot 0
tan 0 = 1/Cot 0
3.3
Relation of Cot 0 and tan 0
Cot 0.tan 0 = 1
Objective of the domain
The students will be able to
find the value of Cot 0 from the value of tan 0
find the value of tan 0 from the value of Cot 0
do calculation in the given examples with the help of the
knowledge obtained.
Domain No : 4
T - Ratio of tan 0
Domain specification :
4.1
Ratio of Sin 0 and Cos 0
tan 0 = Sin 0/Sec 0
4.2
Ratio of Sin 0 and Cos 0
Cos 0 = Sin 0/tan 0
4.3
Ratio of Sin 0 and Cos 0
Sin 0 = tan 0.Cos 0
Objective of the domain
The Students will be able to
to find the value of tan 0 from the values of Sin 0 and Cos 0
to find the value of Cos 0 from the values of Sin 0 & tan 0
183
to find the value o f Sin 0 from the value o f tan 0 & Cos 0
do calculation in the given examples
Domain No : 5
T - Ratio o f Cot 0
Domain specification :
5 1
Ratio o f Cos 0 and Sin 0
Cot 0 = Cos 0/Sin 0
5.2
Ratio o f Cos 0 and Sin 0
Sin 0 = Cos 0/Cot 0
53
Ratio o f Cos 0 and Sin 0
Cos 0 = Cot 0 Sin 0
Objective o f the domain
The Students will be able to
to find the value o f Cot 0 from the values o f Cos 0 & Sin 0
to find the value o f Sin 0 from the values o f Cos 0 & Cot 0
to find the value o f Cos 0 from the values o f Cot 0 & Sin 0
do calculation in the given examples
Domain No : 6
Trigonometric Relation o f Sin 0 and Cos 0
Domain specification :
6 1
Relation o f Sin 0 and Cos 0
Sin2 0 + Cos2 0 = 1
62
Sin2 0 = 1 - Cos2 0 or
Sm 0 = V l - c o s 2 0
63
Cos2 0 = 1 - Sin2 0 or
Cos 0 =
1 /1
- co s20
O bjective o f the dom ain
The students will be able to
find the value o f 0 in the equation
184
find the value of Sin 9 from the values of Cos 9.
find the value of Cos 9 from the value of Sin 9
Domain No : 7
Trigonometric Relation of Sec 9 and tan 9
Domain specification :
7.1
Relation of Sec 9 and tan 9
Sec2 9 = 1 + tan2 9
7.2
Relation of Sec 9 and tan 9
tan2 9 = Sec2 9 - 1
7.3
Relation of Sec 9 and tan 9
Sec2 9 - tan2 9 = 1
Objective of the domain
The Students will be able to
find the value of Sec 9 from the value of tan 9
find the value of tan 9 from the value of Sec 9
do calculation in the given examples.
Domain No : 8
Trigonometric Relation of Cosec 9 and Cot 9
Domain specification :
8.1
Relation of Cosec 9 and Cot 9
Cosec2 9 = 1 + Cot2 9
8.2
Relation of Cosec 9 and Cot 9
Cot2 9 = Cosec2 9 - 1
8.3
Relation of Cosec 9 and Cot 9
Cosec2 9 - Cot2 9 = 1
Objective of the domain
The Students will be able to
find the value of Cosec 9 from the value of Cot 9
find the value of Cot 9 from the value of Cosec 9
do calculation in the given examples.
185
Domain No : 9
Conversion of T - Ratio
Domain specification :
91
Sm 0 = Cos (90 -
8)
92
Cos 0 = Sin (90 -
0)
93
tan 0 = Cot (90 -
0)
94
Cot 0 = tan (90 - 0 )
95
Cosec 0 = Sec (90 -
0)
96
Sec 0 = Cosec (90 -
0)
Objective of the domain
The Students will be able to
find the value of 0 in Cos 0 from the Sin 0
find the value of 0 in Sin 0 from the Cos 0
find the value of 0 in Cot 0 from the tan 0
find the value of 0 in tan 0 from the Cot 0
find the value of 0 in Sec 0 from the Cosec 0
find the value of 0 in Cosec 0 from the Sec 0
Domain No : 10
Values of Trigonometric ratioes for Angle30°
Domain specification :
10 1
Sm 30° =
j
i
102
Cos 30° -
^
2
103
tan 30° = ^
o
10 4
Cosec 30° =
2
10 5 Sec 30° =
2
-jg
106
^3
Cot 30° =
186
Objective of the domain
The students will be able to
find the values for trigonometric ratioes for angle 30°
do calculation in the examples
Domain No : 11
Values of Trigonometric ratioes for Angle 45°
Domain specification :
111
Sin 45° = - ^
112
Cos 45° =
11 3
tan 45° = 1
114
Cosec 4 5 ° = ^
115
Sec 45° = a/2
116
Cot 45° = 1
1
Objective of the domain
The students will be able to
find the values for trigonometric ratioes for angle 45°
do calculation in the examples
Domain No : 12
Values of Trigonometric ratioes for Angle 60°
Domain specification :
s
12 1
Sin 60°
12 2
Cos 60° = ~
12 3
tan 60°= ^/3
12 4
Cosec 60° =
12 5
Sec 60° = 2
2
187
12.6
Cot 60° = ^
1
Objective of the domain
The students will be able to
find the values for trigonometric ratioes for angle 60°
do calculation in the examples.
188