Polar Coordinates

Polar Coordinates:

 

Polar Line:

Polar Circle:

Four-leaved rose:

Three-leaved Rose:

Lemniscates:

Limaçons:

Other Inverse Functions

Inverse Cosecant Function (y = arccsc x)

 
Inverse Secant Function (y = arcsec x)

 
Inverse Cotangent Function (y = arccot x)

Inverse Trigonometric Functions

Inverse Sine Function

The inverse sine function returns angles in QI or QIV.

Inverse Cosine Function

The inverse cosine function returns angles in QI or QII.

Inverse Tangent Function

The inverse tangent function returns angles in QI or QIV.

Graphing Cosecant, Secant, and Cotangent

Reciprocal relationships

One cycle of cosecant: period 2π

One cycle of secant: period 2π

One cycle of cotangent: period π

Graphing Sine, Cosine, and Tangent

General form for the sine and cosine functions.

One cycle of sine: period 2π

One cycle of cosine: period 2π

General form for the tangent function.

One cycle of tangent in green: period π