Trig Rules and Derivatives

Pythagorean identity (cs)

cos^2(x) +sin^2(x) = 1

Double angle identities (sin)

2sin(x)(cos(x)) = sin(2x)

Double angle identities (cos)

cos^2(x) - sin^2(x) = cos(2x)

secant reciprocal

sec(x) = 1/cos(x)

cosecant reciprocal

csc(x) = 1/sin(x)

cotangent reciprocal

cot(x) = 1/tan(x)

Pythagorean identities (st)

1 + tan^2(x) = sec^2(x)

Pythagorean identities (cc)

1 + cot^2(x) = csc^2(x)

Double angle identities (tan)

2tanx/(1-tan^2(x)) = tan(2x)

sine derivative

dy/dx = cos(x)

cosine derivative

dy/dx = -sin(x)

tangent derivative

dy/dx = sec^2(x)

secant derivative

dy/dx = sec(x)tan(x)

cosecant derivative

dy/dx = -csc(x)cot(x)

cotangant derivative

dy/dx = -csc^2(x)