Reciprocal Identities, Quotient Identities, Pythagorean Identities, Cofunction Identities, and Even and Odd Identities

###
sin x (Reciprocal Identities)

1/csc x

###
cos x (Reciprocal Identities)

1/sec x

###
tan x (Reciprocal Identities)

1/cot x

###
csc x (Reciprocal Identities)

1/sin x

###
sec x (Reciprocal Identities)

1/cos x

###
cot x (Reciprocal Identities)

1/tan x

###
sin x/ cos x (Quotient Identities)

tan x

###
cos x/ sin x (Quotient Identities)

cot x

###
sin²x+cos²x (Pythagorean Identities)

1

###
1+tan²x (Pythagorean Identities)

sec²x

###
1+cos²x (Pythagorean Identities)

csc²x

###
sin[ (π/2) - x ] (Cofunction Identities)

cos x

###
tan[ (π/2) - x ] (Cofunction Identities)

cot x

###
sec[ (π/2) - x ] (Cofunction Identities)

csc x

###
cos[ (π/2) - x ] (Cofunction Identities)

sin x

###
cot[ (π/2) - x ] (Cofunction Identities)

tan x

###
csc[ (π/2) - x ] (Cofunction Identities)

sec x

###
sin(-x) (Even/Odd Identities)

-(sin x)

###
cos(-x) (Even/Odd Identities)

cos x

###
tan(-x) (Even/Odd Identities)

-(tan x)

###
csc(-x) (Even/Odd Identities)

-(csc x)

###
sec(-x) (Even/Odd Identities)

sec x

###
cot(-x) (Even/Odd Identities)

-(cot x)