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The essence of mathematics is not to make simple things complicated, but to make complicated things simple

*** S.Gudder

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Trigonometric Identities 

Reciprocal Relations

  1.       and      
  2.          and       
  3.           and       

Quotient Relations

Pythagorean Relations

Addition Formulae

Subtraction Formulae


Product Formulae

Sum Formulae

Functions Of Multiple Angles

 

Expressions for sin2A and cos2A in terms of tanA

 

Three important results

 

Expressions for sin3A, cos3A and tan3A

 

Functions Of Sub-multiple Angles

In the above values of , and ,the ambiguities can be avoided if we know the quadrant in which  lies. That is the limit within which A lies.