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Trigonometry

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 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 triang le. Then we have the following identities for the trigonometric rat ios of  Complementary angles,                                                      Sin   𝛳 = Cos ( 90⁰ - 𝛳 )                             Cos 𝛳 =    Sin   ( 90⁰ - 𝛳 )                              tan 𝛳 =  cot    ( 90⁰ - 𝛳
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Algebra

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The mathematical term "Algebra" was derived from the Arabic word 'al-jabr'  Indian mathematicians like  Aryabhatta , Bhrahmagupta, Mahavir, Bhaskara Ⅱ, Sridhara have contribute a lot to this branch of mathematics.         The Greek mathematician, Diophantus of Alexandria  had developed this branch to a greater extent. Hence he is called as "The father of Algebra"             Basic concepts of Polynomial: Monomial:                    An Algebraic expression that contains only one term is called a monomial.                        Examples:                                    2x², 3ab,81xyz                                                          Binomial:                    An Algebraic expression that contains only two terms is called a binomial.                          Examples:                                    x + y, 4a - 3b , l² -7m Trinomial:                   An Algebraic expression that contains only three ter
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Angles

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     Two rays starting from a common point from an angle. Types of angles: Acute angle:          An angle whose measure is greater than  0⁰ but less than 90⁰ is called an acute angle.                   Examples:                            15⁰ , 30⁰.      Right angle:              An angle whose measure is 90⁰ is called a right angle.   Obtuse angle:             An angle whose is greater than 90⁰ and less than 180⁰ is called an obtuse angle.                                     Examples:   100⁰ , 110⁰ , 140⁰  Straight angle:             When the rays of an angle are opposite rays forming a straight line, the angle thus formed is a straight angle and its measure is 180⁰ Reflex angle:             An angle whose measure is more than 180⁰ but less than 360⁰ is called a reflex angle. Complete angle:              An angle whose measure is 360⁰ is called a complete angle.
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