Following
the sequence of last post on basics of Trigonometry I am continuing the basics
of Trigonometry in this post too. Let’s prepare this get full hold on the
questions of trigonometry.
Table for the value of Trigonometric ratios at various angles :-
Table for the value of Trigonometric ratios at various angles :-
Angle →
|
θ = 0
|
θ = 300
|
θ = 450
|
θ = 600
|
θ = 900
|
Sinθ
|
0
|
½
|
1/√2
|
√3/2
|
1
|
Cosθ
|
1
|
√3/2
|
1/√2
|
½
|
0
|
Tanθ
|
0
|
1/√3
|
1
|
√3
|
∞
|
Cosecθ
|
∞
|
2
|
√2
|
2/√3
|
1
|
Secθ
|
1
|
2/√3
|
√2
|
2
|
∞
|
Cotθ
|
∞
|
√3
|
1
|
1/√3
|
0
|
Quadrant rule
Summary of
Trigonometric ratios with respect to Quadrant
rule
 |
| figure to represent the Quadrant Rule |
The
Quadrant rule is also known as A-S-T-C Rule
Where A stands for all ratios means (Sinθ,
Cosθ, Tanθ, Cosecθ, Secθ, and Cotθ)
S stands for ratios (Sinθ and its
inversely related brother Cosecθ only)
T stands for ratios (Tanθ and
its inversely related brother Cotθ only)
C stands for ratios (Cosθ and
its inversely related brother Secθ only)
Means :-
All ratios
are positive in 1st Quadrant
Only Sinθ
and Cosecθ values are positive in 2nd Quadrant while all others are
negative in this Quadrant as this Quadrant belongs to these two ratios only.
Only Tanθ
and Cotθ values are positive in 3rd Quadrant while all others are negative in this
Quadrant as this Quadrant belongs to these two ratios only.
Only Cosθ
and Secθ values are positive in 2nd Quadrant while all others are
negative in this Quadrant as this Quadrant belongs to these two ratios only.
Table for
Quadrant Rule :-
Angles
|
(90 - θ)
|
(90 + θ)
|
(180 - θ)
|
(180 + θ)
|
(360 - θ)
or (-θ)
|
Sinθ
|
Cosθ
|
Cosθ
|
Sinθ
|
-Sinθ
|
-Sinθ
|
Cosθ
|
Sinθ
|
-
Sinθ
|
-Cosθ
|
-Cosθ
|
Cosθ
|
Tanθ
|
Cotθ
|
-Cotθ
|
-Tanθ
|
Tanθ
|
-Tanθ
|
Cosecθ
|
Secθ
|
Secθ
|
Cosecθ
|
-Cosecθ
|
-Cosecθ
|
Secθ
|
Cosecθ
|
-Cosecθ
|
-Secθ
|
-Secθ
|
Secθ
|
Cotθ
|
Tanθ
|
-Tanθ
|
-Cotθ
|
Cotθ
|
-Cotθ
|
Hope you have enjoyed
the base concept of this chapter till now. More Conceptual enjoyment will be
continued for you soon, just keep visiting this blog regularly and writing me
your related queries through comment or forum.
Best of Luck for Exams. To be continued soon........................
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