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Trigonometric Function sin( ) cos( ) tan( ) cot( ) sec( ) csc( ) 0

0 /6

1

1/2

/4

/2

/3

/2

/2

1

2

/3

/2

3

/4

/2

5

/6

1/2 0

0

/2

/3

/2

1

2

-

-1/2 /2

-

/2

/3

/3

0

-

-1 -

-1

2

0

-

/3 0

2

1

1/2

-

1

-

/3 -1 -

Reciprocal Properties:

Quotient Properties:

Pythagorean Properties:

Odd and Even Function Properties: sin(-x) = -sin x cos(-x) = cos x tan(-x) = -tan x cot(-x) = -cot x sec(-x) = sec x csc(-x) = -csc x

/3 1

-2

2

/3

-2

-

2

/3 -1

2 -

Double-Argument Properties: sin 2x = 2 sinx cosx cos 2x = cos2x - sin2x = 1 - 2 sin2x = 2 cos2x - 1 logb(1) = 0 logbb = 1 logb (x × y) = logb(x) + logb(y) logb(x/y) = logb(x) - logby logb(xn) = n logb(x)

Half-Argument Properties: Cofunction Properties for Circular Functions:

Sum and Product Properties: 2 cos A cos B = cos(A + B) + cos(A - B) 2 sin A sin B = -cos(A + B) + cos(A -B) 2 sin A cos B = sin(A + B) + sin(A -B) 2 cos A sin B = sin(A + B) - sin (A -B)

Average formulas

Composite Argument Property: cos (A - B) = cosA cosB + sinA sinB cos (A + B) = cosA cosB - sinA sinB sin (A - B) = sinA cosB - cosA sinB sin (A + B) = sinA cosB + cosA sinB

Where "s" is the position at any time "t"

Linearity

Product rule

Quotient rule

Chain rule

Derivatives of simple functions

Derivatives of exponential and logarithmic functions

Derivatives of trigonometric function

Derivatives of hyperbolic functions

Derivative of inverse function