Trigonometric Identities, Derivatives, and Integrals

Derivative of sin(x)

cos(x)

Derivative of cos(x)

-sin(x)

Derivative of tan(x)

sec²(x)

Derivative of sec(x)

sec(x)tan(x)

Integral of sin(x)

-cos(x)

Integral of cos(x)

sin(x)

Derivative of ln(x)

1/x

Integral of 1/x

ln∣x∣

Integral of ln(x)

xln(x)-x

sin²x

1-cos²x

cos²x

1-sin²x

sec²x

tan²x+1

Type of function → sin(x)

Odd function

Type of function → cos(x)

Even function

$$\sqrt{a^2-x^2}$$

x = a sin(x) → a cos(x)

$$\sqrt{x^2-a^2}$$

x = a sec(x) → a tan(x)

$$\sqrt{x^2+a^2}$$

x = a tan(x) → a sec(x)