Fundamental Trigonometric Identities

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