Identifying Errors in Proofs

Topic practice · Paper 2 · Foundation

This free ExamAlly page is a TMUA identifying errors in proofs practice question for students preparing for the TMUA (Test of Mathematics for University Admission). Use it to check your understanding of Identifying Errors in Proofs, attempt every option under light time pressure, then read the full worked solution.

Independent practice material, not affiliated with official TMUA organisers.

A student writes: "If $\sin A = \sin B$ , then $A = B$ (for real $A, B$ in radians)." This inference is not valid in general because $\sin$ is not one-to-one on $\mathbb{R}$ .

Which one of the following extra conditions, if imposed on $A$ and $B$ , is sufficient to make the student's inference valid?

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