Basic Sin Cos Tan Chart
What I Need to Know from Trig
[the stu I was supposed to have learned last year]
[By the way, you’ll need to be able to do this WITHOUT a calculator!]
Note: AP Calculus AB never uses degrees – only radians
0° = 0 90° =
2
30° =
6
180° =
Opposite Hypotenuse
45° =
4
270° =
3
2
60° =
3
360° = 2
Adjacent
In AP Calculus you should memorize the six trig function values above.
Right Triangle SOHCAHTOA
sin
=
opp
hyp
cos
=
adj
hyp
tan
=
opp
adj
csc
=
1
sin
hyp
opp
sec
=
1
cos
hyp
adj
cot
=
1 cos
tan sin
adj
opp
Circular Functions
(x,y) (cos
, sin
)
sin
=
y
r
csc
=
r
y
rr
cos
=
x
r
sec
=
r
x
( -1, 0) (1, 0) (1, 0)
tan
=
y
x
cot
=
x
y
1 radian
�
57.3°
�
1.57
3.14 6.28
The most important trig formula: sin
2
cos
2
from which we can derive other useful trig formulas.
(Divide all parts by sin
2
andwe get 1 + cot
2
csc
2
r
y
x
4.71
1.57
2
3.14
3
4.71
2
2 6.28
radians
radians
radians
radians
�
�
�
�
(0,1)
(0, -1)
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