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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.