Basic Sin Cos Tan Chart

For example: sin
-1
=
1
2
means
4
INVERSE FUNCTIONS ARE NOT RECIPROCALS!!!
What I Need to Know from Pre Calculus
Linear equations:
slope-intercept form:
y mx b
point-slope form:
1 1
y y m x x
Parallel lines have equal slopes (except vertical lines which have unde:ned slopes)
Perpendicular lines have slopes whose product is –1 (opposite reciprocals)
slope =
m
=
1 2
1 2
y y
y
x x x
Distance formulas:
from point
1 1
,x y
to
2 2
,x y
:
2 2
1 2 1 2
d x x y y
from point
1 1
,x y
to line
0Ax By C
:
1 1
2 2
Ax By C
d
A B
Domain and Range: Interval Notation
1x 1 can be written as [ -1, 1] 1x1 can be written as 1,1
1x 1 can be written as (1,1] 1x1 can be written as [1,1)
Closed bracket is inclusive, open parenthesis is exclusive.
Always use ( ) whenever is involved.
Consider the following function:
f(x) = x
2
Domain: ,
Range: [0,)
Geometry formulas:
Area Triangle:
1
2
bh
Trapezoid:
1 2
1
( )
2
h b b
Circle:
2
r
Surface area Sphere:
2
4 r
Lateral area of cylinder:
2 rh
Volume Cone:
2
1
3
r h
Sphere:
3
4
3
r
Cylinder:
2
r h
Prism:
Bh
where
B
is the area of the base
Pyramid:
1
3
Bh
where
B
is the area of the base
Symmetry of functions:
Even functions have the property
( ) ( )f x f x
, & the graph of an even function is symmetric with respect
to the y-axis
Odd functions have the property
( ) ( )f x f x  
, & the graph of an odd function is symmetric with respect to
the origin.
Page 3/5
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