TRIGONOMETRIC IDENTITIES Flashcards
1
Q
RECIPROCAL IDENTITIES
A
csc x = 1/sin x __ sin x= 1/csc x
sec x = 1/cos x __ cos x = 1/sec x
cot x = 1/tan x __ tan x = 1/cot x
2
Q
csc x =
A
1/sin x
3
Q
sec x =
A
1/cos x
4
Q
cot x =
A
1/tan x
5
Q
sin x =
A
1/csc x
6
Q
cos x =
A
1/sec x
7
Q
tan x =
A
1/ cot x
8
Q
QUOTIENT IDENTITIES
A
tan x = sin x/cos x
cot x = cos x/sin x
9
Q
tan x =
A
sin x/cos x
10
Q
cot x=
A
cos x/sin x
11
Q
PYTHAGOREAN IDENTITIES
A
cos² x + sin² x = 1
sec² x - tan² x = 1
csc² x - cot² x = 1
12
Q
cos² x + sin² x =
A
1
13
Q
sec² x - tan² x =
A
1
14
Q
csc² x - cot² x =
A
1
15
Q
COFUNCTION IDENTITIES
A
sin(π/2 -x) = cos x csc(π/2 -x) = sec x
cos(π/2 -x) = sin x sec(π/2 -x) = csc x
tan(π/2 -x) = cot x cot(π/2 -x) = tan x
