Summation of Series by C+iS Method — Study Resources & PYQs
Summation of series using the C+iS method.
- Estimated study time: 30 minutes
Study resources
- Summation of Series by C + iS Method (Article) — Explains the C + iS method and method of differences for summing trigonometric series, the exact syllabus technique.
- Summation of Series by C + iS Method (Video) — Worked example of a GP-type trigonometric series solved by the C + iS method (Hindi). Pairs with Problem 2 in the same series.
- Summation of Series by C + iS Method (Video) — Second solved problem on summing a trigonometric series via C + iS. Good practice after the introduction.
- MIT OpenCourseWare — Multivariable Calculus (Article) — MIT multivariable-calculus materials covering partial derivatives, homogeneous-function ideas, Taylor expansions, extrema and Lagrange multipliers.
- MIT OpenCourseWare — Linear Algebra (Article) — MIT linear-algebra materials covering matrices, rank, elementary operations, eigenvalues/eigenvectors, Cayley-Hamilton-related concepts and diagonalization.
Summation of Series by C+iS Method previous year questions
- (a) If $a + ib = c \tan(x + iy)$ then prove that $\tan 2x = \frac{2ac}{c^2 - a^2 - b^2}$. (b) Sum the following series: $$1 + \frac{\cos \alpha}{\cos \alpha} +…
- (a) Prove that $\tan\left[i \log \left(\frac{a-ib}{a+ib}\right)\right] = \frac{2ab}{a^2-b^2}$. (b) Separate into real and imaginary parts $\cos^{-1}\left(\frac…
- (a) Show that $\tan \left[i \log \left(\frac{a - ib}{a + ib}\right)\right] = \frac{2ab}{a^2 - b^2}$. (b) Show that $\sin(\log i) = -1$. (c) Sum the series to i…
Taught in these subjects
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-1 — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu