A+ » VCE » Maths Methods U3 & 4 Master Notes » A3 Calculus » 3.4 Differentiation Rules for Circular Functions

3.4 Differentiation Rules for Circular Functions

Differentiation Rules for \sin(x), \cos(x), \tan(x)

  • The other rules regarding differentiation such as addition, subtraction, multiplication, division of functions, chain rule etc. applies too.
  • All of these rules can be proven via first principles, but it is not required.
  • The basic rules in this section are:

i) If f(x)=\sin(x), then f^{\prime}(x)=\cos x

ii) If f(x)=\cos x, then f^{\prime}(x)=-\sin x

iii) If f(x)=\tan x, than f^{\prime}(x)=\sec^2x=\sec x \times \sec x

  • It is possible to expand these further using chain rule:
This content is for Master Notes MM members only. Unlock the content by signing up for a membership level - quick and easy!
Log InSign Up