Basic Sin Cos Tan Chart

(Divide all parts by cos
2
) and we get tan
2
+ 1 = sec
2
II I
S A
T C
III IV
Trig Graphs
siny x
cosy x
tany x
cscy x
secy x
coty x
Special Right Triangles
In the AP- world, the answer
1
2
does not need to be rationalized (Hooray!). It is sometimes easier (at
least for me) to recall trig values using triangles rather than using the unit circle.
2
1 2 1
3
1
Inverse trig functions
sin
-1
= arcsin
---- means the arc (or angle) whose sine is equal to some given value.
A - all trig functions positive in Quad I
S - sin & csc functions positive in Quad II
T – tan & cot functions positive in Quad III
C – cos & sec function positive in Quad IV
30° =
60°
45°
45°
sin
1
6 2
cos
3
6 2
tan
1
6
3
csc
2
6
sec
2
6
3
cot
3
6
sin
1
4
2
cos
1
4
2
tan
1
4
csc
2
4
sec
2
4
cot
1
4
Reference Angles (
'
) ---- Positive, acute
angles
Quad I -
'
reference angle is itself
Quad II -
'
' 180
Quad III -
'
' 180
Quad IV -
' 2
' 360
Page 2/5
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