Trigonometry

 Trigonometry is the one of the branches of mathematics which means the measurement of triangle.

Trigonometric Ratios:

  •   The side that is opposite to the right angle is called the Hypotenuse.  This is the longest in a right triangle.
  • The side that is opposite to the angle 𝛳 is called the opposite side.
  • The side  that runs alongside the angle  𝛳 and which is not the Hypotenuse is called the Adjacent side.
Let 𝛳 be an acute angle  of a right triangle. Then the six trigonometric Ratios of 𝛳 and the trigonometric table are as follows,


         

Example:


         


Trigonometric Ratios of Complementary Angles

 Let 𝛳 be an acute angle  of a right triangle. Then we have the following identities for the trigonometric ratios of Complementary angles,
                        
                            Sin  π›³ = Cos ( 90⁰ - 𝛳 )
                            Cos 𝛳 =  Sin  ( 90⁰ - 𝛳 )
                             tan 𝛳 =  cot  ( 90⁰ - 𝛳 )
                         cosec 𝛳 =  sec  ( 90⁰ - 𝛳 )
                             sec 𝛳 =  cosec  ( 90⁰ - 𝛳 )
                              cot 𝛳 =   tan  ( 90⁰ - 𝛳 )

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