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Small angle approximation

The approximations

Section titled “The approximations”

As becomes small:

These only work when working with radians - not degrees.

What is a small angle?

Section titled “What is a small angle?”

A ‘small’ angle is considered anything under half a radian.

Sine approximation

Section titled “Sine approximation”

For a small angle , when working with radians:

Tangent approximation

Section titled “Tangent approximation”

For a small angle , when working with radians:

Cosine approximation

Section titled “Cosine approximation”

For a small angle , when working with radians:

Approximate the value of , then find the percentage error

Section titled “Approximate the value of , then find the percentage error”

The actual value is around , so:

  • Difference: