Calculus 1

Identities and Proofs that are good to know

Sin(x)

Sin(x)

Cos(x)

Cos(x)

-Sin(x)

Tan(x)

Sec²(x)

Sec(x)

Tan(x)Sec(x)

Cosec(x)

-Cot(x)cosec(x)

Cot(x)

-Cosec²(x)

Sin(kx)

kCos(kx)

Cos(kx)

-kSin(kx)

Tan(kx)

kSec²(kx)

Sin(ax+b)

aCos(ax+b)

Cos(ax+b)

-aSin(ax+b)

Tan(ax+b)

aSec²(ax+b)

Sinⁿ(x)

nSin^n-1(x)Cos(x)

Cosⁿ(x)

-nCos^n-1(x)Sin(x)

Tanⁿ(x)

nTan^n-1(x)Sec²(x)

e^x

e^x