GCSE Maths Trigometry Revision
RevisionNotes.Co.Uk - Free Revision and Course Notes for UK Students
Home: GCSE: Maths: Trigonometry: Sine and Cosine Formulae
Revision Notes
GCSE
A-Level
University
IB
User Options
Search
My Revision Notes
Bookmark Page
Contribute
Contribute Work
Other Sites
AcademicDB
Essay Writing Help

Sine and Cosine Formulae
Bookmark this page

Sine and Cosine Formulae:
sin x = sin (180 - x)
e.g. sin 130 = sin (180 - 130) = sin 50

cos x = -cos (180 - x)

The Sine Rule:
This works in any triangle:

     a    =    b    =    c  
   sinA     sinB      sinC

alternatively, sinA = sinB = sinC
                     a       b       c

NOTE: the triangle is labelled as follows:

 

The Cosine Rule:
c² = a² + b² - 2abcosC
can also be written as:
a² = b² + c² - 2bccosA

This also works in any triangle.

 

The area of a triangle
The area of any triangle is ½ absinC (using the above notation)
This formula is useful if you don't know the height of a triangle (since you need to know the height for ½ base × height).

Other Notes in this Category

  1. Bearings
  2. Congruency
  3. Intercept Theorem
  4. Pythagoras' Theorem
  5. Similar Triangles
  6. Sin, Cos and Tan
  7. Sine and Cosine Formulae

Didn't find this useful?

  • Visit Coursework.Info for over 14,000 GCSE, A-Level and University Essays

© UK-Learning 2001-3. Disclaimer, Feedback, Other Stuff.