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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