Chapter 3,

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Chapter 3, "Trigonometry Snippets"

Degrees to Radians

Angle in degrees * graphics/ap01inl03.gif = angle in radians.

Radians to Degrees

Angle in radians * graphics/ap01inl04.gif = angle in degrees.

Trigonometric Functions

graphics/ap01equ06.gif

where opp = the side opposite a , adj = the side adjacent to a , and hyp = the hypotenuse .

Other Trigonometric Functions

graphics/ap01equ07.gif

where opp = the side opposite a , adj = the side adjacent to a , and hyp = the hypotenuse.

Period of the Sine Wave

For y = sin( Bx ), the period = graphics/ap01inl05.gif .

Amplitude of the Sine Wave

For y = A sin( x ), the amplitude = A .

Unit Circle Identity

cos 2 a + sin 2 a = 1

Tangent and Cotangent

graphics/ap01equ08.gif

Negative Angles

sin( “ a ) = “sin a

cos( “ a ) = cos a

tan( “ a ) = “tan a

Sum and Difference Identities for Sine

sin( a 1 + a 2 ) = sin a 1 cos a 2 + cos a 1 sin a 2

sin( a 1 a 2 ) = sin a 1 cos a 2 “ cos a 1 sin a 2

Sum and Difference Identities for Cosine

cos( a 1 + a 2 ) = cos a 1 cos a 2 “ sin a 1 sin a 2

cos( a 1 a 2 ) = cos a 1 cos a 2 + sin a 1 sin a 2

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Beginning Math and Physics for Game Programmers
Beginning Math and Physics for Game Programmers
ISBN: 0735713901
EAN: 2147483647
Year: 2004
Pages: 143
Authors: Wendy Stahler

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