trigonometric identities (precalculus)

use this to get question right for pythagorean identities ²θ

pythagorean identities

sin²θ + cos²θ = 1 | 1 + cot²θ = csc²θ | 1 + tan²θ = sec²θ

quotient identities

tanθ = sinθ/cosθ | cotθ = cosθ/sinθ

reciprocal identities

sinθ = 1/cscθ | cscθ = 1/sinθ | cosθ = 1/secθ | secθ = 1/cosθ | tanθ = 1/cotθ | cotθ = 1/tanθ

even and odd identities

sin(-θ) = -sinθ | csc(-θ) = -cscθ | cos(-θ) = cosθ | sec(-θ) = secθ | tan(-θ) = -tanθ | cot(-θ) = -cotθ

cofunction identities

sin(x) = cos (pi/2 - x) | cos(x) = sin (pi/2 - x) | sec(x) = csc (pi/2 - x) | csc(x) = sec (pi/2 - x) | tan(x) = cot (pi/2 - x) | cot(x) = tan (pi/2 - x)