# 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

1x 1 can be written as [ -1, 1] 1x1 can be written as 1,1

1x 1 can be written as (1,1] 1x1 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.

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