Trigonometry


TRIGONOMETRY
Trigonometric ratios

  • Define secant,cosecant and cotangent

Trigonometric identities

  • Derive trigonometric identities 
  • Simplify trigonometric identities 
  • Solve trigonometric equations 
  • Prove trigonometric identities 

Compound angle formula

  • Derive the compound angle formula 
  • Prove identities involving compound angles
  • Simplify expression involving compound angles 



Trigonometric equation of the from acos0+bsin0=C

  • Use  t- formula to solve equations of the form acos0+bsin0=c
  • Express acos0+bsin0=c as a single trigonometric function
  • Find the general solution to the equation acos0+bsin0=c by considering a and b as a side of a right angled triangle 

Factor formulae

  • Prove identities involving factor formulae 
  • Prove identities  involving factor formulae
  • Simplify expression involving factor formulae 
  • Solve trigonometric problems involving factor formula

Radian and small angles

  • Convert degree into radian 
  • Approximate small angles sin x = x , tan x = x

Trigonometrically function

  • Determine domain and range of trigonometric functions 




Inverse trigonometrically functions

  • Find the inverse of trigonometric functions 
  • Sketch  graphs of inverse of trigonometric functions 
  • Prove expression involving inverse trigonometric functions 
  • Solve problems involving inverse trigonometric functions