Trigonometry
Trig Ratio :
Application of CAST
· In any Right-Angled Triangle and Pythagorus
Y opp
SiH =
T
=
nur If 2coso + 3 = 0 and tano o
=
nup
Cos O PP
T calculate , without a calculator
O
tan =
adj using a diagram ,
sino
* r = radius/hypotenuse -
always positive number
· In a Right-Angled Triangle Anution :
(negative
In a Cartesian plane
tan 00
14 ·
(x : 4) 2cos + 1 = 0
=
sin0 =
M
Y 2005
= -
E
FA
cosO =
7
of , e cos
= -
E
2
and aud a
tanO =
x
=
:
Diagram
CAST Diagram :
·
2
y = (2) -
1 -
3)2
y = 1 = 2
= 1 2nd quad
↓
SA
"
TC
x -
= 53
Special Angles :
1) sindo
98
10 : 2) (1 : 3)
=
(i)2
IE ; E)
· =
(5 ; 1)
30
180
:
(2 : 0 il 8 12 : 0
368
r 2
Trig Graphs
=
......
10 : -2)
270 y = Sinc
-
1 -
sin30' = cosso = tanzo =
Reduction Formula
SaS
:
O is an
90
-tane
(90 + 0)5 ~ 190-0) cofunctions
(180 0 - sin = COS
name
(N/C) Y
change
O
180
↑ S A+ o) M
I 0
I T (a) I 360
(180 +
0) (360 - 0
270
Trig Ratio :
Application of CAST
· In any Right-Angled Triangle and Pythagorus
Y opp
SiH =
T
=
nur If 2coso + 3 = 0 and tano o
=
nup
Cos O PP
T calculate , without a calculator
O
tan =
adj using a diagram ,
sino
* r = radius/hypotenuse -
always positive number
· In a Right-Angled Triangle Anution :
(negative
In a Cartesian plane
tan 00
14 ·
(x : 4) 2cos + 1 = 0
=
sin0 =
M
Y 2005
= -
E
FA
cosO =
7
of , e cos
= -
E
2
and aud a
tanO =
x
=
:
Diagram
CAST Diagram :
·
2
y = (2) -
1 -
3)2
y = 1 = 2
= 1 2nd quad
↓
SA
"
TC
x -
= 53
Special Angles :
1) sindo
98
10 : 2) (1 : 3)
=
(i)2
IE ; E)
· =
(5 ; 1)
30
180
:
(2 : 0 il 8 12 : 0
368
r 2
Trig Graphs
=
......
10 : -2)
270 y = Sinc
-
1 -
sin30' = cosso = tanzo =
Reduction Formula
SaS
:
O is an
90
-tane
(90 + 0)5 ~ 190-0) cofunctions
(180 0 - sin = COS
name
(N/C) Y
change
O
180
↑ S A+ o) M
I 0
I T (a) I 360
(180 +
0) (360 - 0
270
