5.6 Half-Angle Identities

 

Derive:  Beginning with Double Angle for Cosine

 

 

 

 

 

 

 

 

 

 

Half-angle Identities

 

 

Example

Find the exact value of  using the half-angle identity for sine.

 

 

 

 

 


Example

Find the exact value of  using the identity

 

 

 

 

 

 

 

Example

Given 

 

 

 

 

 

 

 

 

 

 

 

Example

Verify that the following equation is an identity.