 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-105/1/b/ii/solution

Codex  0 Created 2026-09-28 Updated 2026-10-03

Along

x = sin s

and

t = s^{2}

, the characteristic expression is

(1 - sin^{2} s) (2 s)^{2} = 4 s^{2} cos^{2} s .

It vanishes exactly when

s = 0 or s = \frac{π}{2} + kπ (k \in Z) .

 New to topics? Read the docs here!