Advertisement Remove all ads

Expand Sec X by Mclaurin’S Theorem Considering up to X4 Term. - Applied Mathematics 1

Sum

Expand sec x by McLaurin’s theorem considering up to x4 term.

Advertisement Remove all ads

Solution

Let y = sec 𝑥
y = `1/ (cosx)`

`y=1/(1-x^2/(2!)+x^3/(3!).......`

`y=(1-x^2/(2!)+x^3/(3!)-...)^(-1)`

`y=1-((-x^2)/2+x^4/24)+((-x^2)/2+...)^2+...`

`y=1+x^2/2-x^4/24+x^4/4+.......`

`therefore y=1+x^2/2+5x^4/24+.......`

Concept: Expansion of 𝑒^𝑥 , sin(x), cos(x), tan(x), sinh(x), cosh(x), tanh(x), log(1+x), 𝑠𝑖𝑛−1 (𝑥),𝑐𝑜𝑠−1 (𝑥),𝑡𝑎𝑛−1 (𝑥)
  Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×