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DOUBLE-ANGLE AND HALF-ANGLE IDENTITIES

LAW OF SINES AND LAW OF COSINES

 

In a previous unit, we learned how trigonometric identities are used to transform complicated expressions into simpler representations. This unit will expand the list of fundamental identities to include techniques for simplifying expressions that involve angle measures of critical angles. Later in the unit the “Law of Sines” and “Law of Cosines” will be introduced.  The laws can be used to find unknown sides or angles in any triangle, not just right triangles.

 

 
 
 
 The Law of Sines (10:39)
  Applying the Law of Sines (01:50)
 The Law of Cosines (05:59)
  Applying the Law of Cosines (02:04)
 
Table of Sines, Cosines, and Tangents (PDF)




Below are additional educational resources and activities for this unit.
 
Double- and Half-Angle Identities
 
The Law of Sines
 
The Law of Cosines