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Trig Identities
Term | Definition |
---|---|
sin(θ) | 1/csc(θ) |
cos(θ) | 1/sec(θ) |
tan(θ) | 1/cot(θ) |
csc(θ) | 1/sin(θ) |
sec(θ) | 1/cos(θ) |
cot(θ) | 1/tan(θ) |
Pythagorean sin/cos | cos^2(x)+sin^2(x)=1 |
Pythagorean tan/sec | 1+tan^2(x)=sec^2(x) |
Pythagorean cot/csc | cot^2(x)+1=csc^2(x) |
Quotient- tan(θ) | sin(θ)/cos(θ) |
Quotient- cot(θ) | cos(θ)/sin(θ) |
sin(π/2-θ) | cos(θ) |
cos(π/2-θ) | sin(θ) |
tan(π/2-θ) | cot(θ) |
csc(π/2-θ) | sec(θ) |
sec(π/2-θ) | csc(θ) |
cot(π/2-θ) | tan(θ) |
sin(-θ) | sin(-θ) |
cos(-θ) | cos(θ) |
tan(-θ) | tan(-θ) |
csc(-θ) | csc(-θ) |
sec-θ) | sec(θ) |
cot(-θ) | cot(-θ) |