Trig Function Derivaties and Trigonometric Identities

memorize!!

sin^²(θ) + cos²(θ) - Pythagorean Identities

= 1

cot(θ) - Reciprocal Identities

1/tan(θ)

csc(θ) - reciprocal identities

1/sin(θ)

sec(θ) - reciprocal identities

1/cos(θ)

tan²(θ) + 1 - pythagorean identities

= sec²(θ)

1 + cot²(θ) - pythagorean identities

= csc²(θ)

tan(θ) - quotient identies

= sin(θ)/cos(θ)

cot(θ) - quotient identities

= cos(θ)/sin(θ)

y = sin(x) - derivative

y’ = cos(x)

y = tan(x) - derivative

y’ = sec²(x)

y = sec(x) - derivative

y’ = sec(x)tan(x)

y = cos(x) - derivative

y’ = -sin(x)

y = cot(x) - derivative

y’ = -csc²(x)

y = csc(x) - derivative

y’ = -csc(x)cot(x)