Integrating Inverse Trigonometric Functions

They are not continuous.

They cannot be graphed.

They have no primitive functions.

Their derivatives are not straightforward.

A tangent line

A point on a graph

An area under a curve

A line segment

Tangent x

Negative cosine x

Negative sine x

Cosine x

To determine their derivatives

To understand their domain and range

To avoid problems in calculations

To calculate their integrals

Vertical

Horizontal

45 degrees

90 degrees

Exponential

Sine

Tangent

Cosine

Use a calculator

Ignore the curve

Estimate using a known shape

Guess the area

Estimate the area

Graph the function

Differentiate a related function

Use a calculator

Negative cosine

Negative sine

Cosine

Tangent

To graph it accurately

To calculate its definite integral

To determine its continuity

To find its maximum value