University:
Santa Ana College
Course:
MATH 170 | Pre-Calculus Mathematics
Academic year:

2023
Views:

119

Pages:

1
Author:

guardiafamilynzfg

Trigonometry Identities Math 170 “Pre-Calculus” *Reciprocal Identities: 1 csc x 1 cos x = sec x 1 tan x = cot x 1 tan x 1 sec x = cos x 1 csc x = sin x sin x = cot x = *Pythagorean Identities: *Quotient Identities: sin x cosx cos x cot x = sin x tan x = Double Angle Identities: * sin2x = 2sin x cos x cos2 x + sin 2 x = 1 * cos2x = cos2 x − sin2 x tan x + 1 = sec x * cos2x = 2cos x − 1 cot 2 x + 1= csc 2 x * cos2x = 1− 2sin2 x 2 2 2 tan 2x = 2tan x 2 1− tan x Half-Angle Identities: Sum and Difference Identities: 1 1− cos x sin( x) = ± 2 2 sin(x + y) = sin x cos y + cosx sin y sin(x − y) = sin x cos y − cosx sin y cos(x + y) = cos x cos y − sin x sin y 1 1 + cos x cos( x) = ± 2 2 1 1− cos x tan( x) = ± 2 1 + cosx Even/Odd Identities: Identities: sin(−u) = − sin u cos(−u) = cos u tan(−u) = − tan u cos(x − y) = cos x cosy + sin x sin y tan x + tan y tan( x + y) = 1− tan x tan y tan( x − y) = tan x − tan y 1+ tan x tan y Cofunction π sin( − u) = cosu 2 π tan( − u) = cot u 2 π cos( − u) = sinu 2

Math 170 Trigonometry Identities Cheat Sheet

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