Trig Identities

Trig Identities - Trigonometric Identities Ratio Identities...

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Unformatted text preview: Trigonometric Identities Ratio Identities sin ! " 1 csc ! cos ! " sec ! " cot ! " 1 sec ! 1 cos ! cos ! sin ! tan ! " cot ! " 1 cot ! 1 tan ! csc ! " tan ! " 1 sin ! sin ! cos ! Pythagorean Identities sin 2 ! # cos 2 ! " 1 1 # tan 2 ! " sec 2 ! 1 # cot 2 ! " csc2 ! Cofunction Identities $ % cos ! " sin$90 ! & ! % sin ! " cos 90 ! & ! $ % cot ! " tan$90 ! & ! % tan ! " cot 90 ! & ! cos$& ! % " cos ! $ csc ! " sec$90 sec ! " csc 90 ! & ! ! % &!% Even/Odd Identities sin$&! % " & sin ! Sum and Difference Identities sin$x # y % " $sin x %$cos y % # $sin y %$cos x % cos$x # y % " $cos x %$cos y % & $sin x %$sin y % tan$x # y % " tan x # tan y 1 & $tan x %$tan y % sin$x & y % " $sin x %$cos y % & $sin y %$cos x % cos$x & y % " $cos x %$cos y % # $sin x %$sin y % tan$x & y % " tan x & tan y 1 # $tan x %$tan y % Double-Angle Identities sin 2x " 2$sin x %$cos x % cos 2x " cos 2 x & sin 2 x " 2 cos 2 x & 1 " 1 & 2 sin 2 x tan 2x " 1 & tan 2 x 2 tan x Half-Angle Identities cos x 2 "' 1 # cos x 2 sin x 2 "' 1 & cos x 2 tan x 2 " 1 & cos x sin x " sin x 1 # cos x ...
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This note was uploaded on 04/18/2008 for the course MATH 148 taught by Professor Mcginnis during the Fall '08 term at Ohio State.

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