Super Hexagon To Learn All Trigonometry Formulae | Trigonometry Class 10

Building Magic Hexagon For Trigonometric Identities Construct the hexagon and locate ‘I’ at the center of the hexagon. Write tan on the farthest left vertex of the magic hexagon. Use quotient identities ( tan x = sin x/cos x ) for the tangent going clockwise Locate the “co” - functions such as cot (cotangent), csc (cosecant), and sec (secant) on the opposite vertex of the hexagon To help you remember: all the “co” functions are placed on the right side of the the outside edges of the hexagon, we can now follow around the clock (in either direction) to get the quotient identities. The quotient identities given below are in two equivalent forms of each. Trigonometric Ratios: The Three Main Trigonometric Ratios are: sinθ=Opposite Side/Hypotenuse Side cosθ=Adjacent Side/Hypotenuse Side tanθ=Opposite Side/Adjacent Side The Inverse of the Above Ratios are: secθ=1/cosθ=Hypotenuse Side/Adjacent Side cosecθ=1/sinθ=Hypotenuse Side/Opposite Side cotθ=1/tanθ=Adjacent Side/Opposite Side Below are the Relation between the Trigonometric Identities: tanθ=sinθ/cosθ cotθ=cosθ/sinθ sin^2θ cos^2θ=1 tan^2θ 1=sec^2θ cot^2θ 1=cosec^2θ sin2θ=2sinθcosθ cos2θ=cos2θ−sin2θ tan2θ=2tanθ1−tan2θ cot2θ=cot2θ−12cotθ First Quadrant sin(90−θ)=cosθ cos(90−θ)=sinθ tan(90−θ)=cotθ csc(90−θ)=secθ sec(90−θ)=cscθ cot(90−θ)=tanθ Second Quadrant sin(180−θ)=sinθ cos(180−θ)=−cosθ tan(180−θ)=−tanθ csc(180−θ)=cscθ sec(180−θ)=−secθ cot(180−θ)=−cotθ Third Quadrant sin(180 θ)=−sinθ cos(180 θ)=−cosθ tan(180 θ)=tanθ csc(180 θ)=−cscθ sec(180 θ)=−secθ cot(180 θ)=cotθ Fourth Quadrant sin(360−θ)=−sinθ cos(360−θ)=cosθ tan(360−θ)=−tanθ csc(360−θ)=−cscθ sec(360−θ)=secθ cot(360−θ)=−cotθ ------------------------------------------------------------------------------------------------------------------------------------------------ Keywords:- trigonometry class 10 | trigonometry | trigonometry table | class 10 trigonometry | trikonamiti math class 10 | trikonamiti | trigonometry table class 10 learn trick | trigonometry formulas | trikonmiti | dear sir trigonometry | class 10 maths trigonometry | trignometry | class 10th trigonometry | triginometry class 10 formulas | trigonometry tricks #superhexagon #trigonometryclass10 #trikonamiti #trigonometryformulas #math #trigonometrytrickclass10 #superhexagontrick #trigonometryclass11 #trigonometryclass10tricks #trigonometryclass10formulas Music:- Maestro Tlakaelel Artist:- Jesse Gallagher Attribution:- Chapters:- 0:00 Introduction 0:19 Trigonometric Ratio 2:16 Trigonometric Identities 3:24 Complementary Angles or Formulae Fair Use Copyright Disclaimer:- This Video is solely meant for educational purpose All Attribution is given to respective owners. All Rights Reserved. Thank You...