Level 462 Level 464
Level 463

Fundamental Trigonometric Identities


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sinθ
1 / cscθ
cosθ
1 / secθ
tanθ
1 / cotθ
tanθ (quotient)
sinθ / cosθ
cotθ
cosθ /sinθ
1
sin²θ + cos²θ
sec²θ
tan²θ + 1
csc²θ
1 + cot²θ Pythagorean identity
sin(-x)
-sinx
csc(-x)
-csc(x)
tan(-x)
-tanx
cot(-x)
-cot(x)
cos(-x)
cosx
sec(-x)
sec(x)
cos(π/2-θ)
sin(θ)
sin(π/2-θ)
cos(θ)
tan(π/2-θ)
cot(θ)
sec(π/2-θ)
csc(θ)
cot(π/2-θ)
tan(θ)
csc(π/2-θ)
sec(θ)
csc θ
1 / sin θ
sec θ
1 / cos θ
cot θ
1 / tan θ
1/csc x
sin x (Reciprocal Identities)
1/sec x
cos x (Reciprocal Identities)
1/cot x
tan x (Reciprocal Identities)
1/sin x
csc x (Reciprocal Identities)
1/cos x
sec x (Reciprocal Identities)
1/tan x
cot x (Reciprocal Identities)
tan x
sin x/ cos x (Quotient Identities)
cot x
cos x/ sin x (Quotient Identities)
1
sin²x+cos²x (Pythagorean Identities)
sec²x
1+tan²x (Pythagorean Identities)
csc²x
1+cos²x (Pythagorean Identities)
cos x
sin[ (π/2) - x ] (Cofunction Identities)
cot x
tan[ (π/2) - x ] (Cofunction Identities)
csc x
1 / sin x
sin x
cos[ (π/2) - x ] (Cofunction Identities)
tan x
cot[ (π/2) - x ] (Cofunction Identities)
sec x
1 / cos x
-(sin x)
sin(-x) (Even/Odd Identities)
cos x
cos(-x) (Even/Odd Identities)
-(tan x)
tan(-x) (Even/Odd Identities)
-(csc x)
csc(-x) (Even/Odd Identities)
-(cot x)
cot(-x) (Even/Odd Identities)
sin²θ+cos²θ=1
Pythagorean Identity Involving Sine
tan²θ+1=sec²θ
Pythagorean Identity Involving Tangent
tan²θ+1=sec²θ
Pythagorean Identity Involving Secant
1+cot²θ=csc²θ
Pythagorean Identity Involving Cotangent
1+cot²θ=csc²θ
Pythagorean Identity Involving Cosecant