Value of tan 60

Trigonometry is a branch of Mathematics that deals with Triangles. The word Trigonometry is composed of two Greek words Trigōnon (meaning Triangle) and Metron (meaning measure). So in short, we can say that measuring a Triangle (specifically right-Angled Triangle) is Trigonometry. Trigonometry is the study between the relationships dealing with Angles, Heights and Lengths of Triangles and also the relationships between the different Circle parts and other Geometric figures. In the field of Astronomy, Engineering, Architectural Design, and Physics, Trigonometry applications are found. Tan 60 Degrees Value A Right-Angled Triangle is a closed figure having three sides, three Angles and three edges such that one of the three Angles of a Triangle is of 90 degree. To find the • Hypotenuse: The longest side of all the three sides of a Right-Angled Triangle which is also opposite to the Right Angle is called Hypotenuse. • Base or Adjacent: The side containing 60 degrees as well as 90 degrees is called Base. • Perpendicular or Opposite : The side perpendicular to base not containing 60 degrees is called perpendicular or opposite side of a right-Angled Triangle. \[\sin \left( \theta \right) = \fracACD\] From this, we can say BD = DC Let us take, AB = BC =2a Then, BD= ½ (BC) =½ (2a) =a By using Pythagoras theorem, • AB 2 = AD 2 - BD 2 • AD 2 = AB 2 - BD 2 • AD 2 = (2a) 2 - a 2 • AD 2 = 4a 2 - a 2 • AD 2 = 3a 2 Therefore, AD=a√3 Now in Triangle ADB, tan 60 = AD/BD = a√3/a = √3 Therefo...

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Trigonometry is a branch of Mathematics that deals with Triangles. The word Trigonometry is composed of two Greek words Trigōnon (meaning Triangle) and Metron (meaning measure). So in short, we can say that measuring a Triangle (specifically right-Angled Triangle) is Trigonometry. Trigonometry is the study between the relationships dealing with Angles, Heights and Lengths of Triangles and also the relationships between the different Circle parts and other Geometric figures. In the field of Astronomy, Engineering, Architectural Design, and Physics, Trigonometry applications are found. Tan 60 Degrees Value A Right-Angled Triangle is a closed figure having three sides, three Angles and three edges such that one of the three Angles of a Triangle is of 90 degree. To find the • Hypotenuse: The longest side of all the three sides of a Right-Angled Triangle which is also opposite to the Right Angle is called Hypotenuse. • Base or Adjacent: The side containing 60 degrees as well as 90 degrees is called Base. • Perpendicular or Opposite : The side perpendicular to base not containing 60 degrees is called perpendicular or opposite side of a right-Angled Triangle. \[\sin \left( \theta \right) = \fracACD\] From this, we can say BD = DC Let us take, AB = BC =2a Then, BD= ½ (BC) =½ (2a) =a By using Pythagoras theorem, • AB 2 = AD 2 - BD 2 • AD 2 = AB 2 - BD 2 • AD 2 = (2a) 2 - a 2 • AD 2 = 4a 2 - a 2 • AD 2 = 3a 2 Therefore, AD=a√3 Now in Triangle ADB, tan 60 = AD/BD = a√3/a = √3 Therefo...