 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-2/15/a/iii/solution

Here

C = 0

as well, but the branch through

5 π /6

is the other inverse-sine branch:

y (x) = π - arcsin x, - 1 < x < 1 .

- 1/ 1 - x^{2}

, and both the sign of

tan y

and the original equation agree with this choice.

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