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MathNet 1992 — Part 01 Question 36

Math Olympiad Vault · MathNet 1992 — Part 01

Question 36

Having drawn the triangle with vertices $A, B, C$, we are asked to graphically determine the point $P$ such that
$$
\widehat{PAB} = \widehat{PBC} = \widehat{PCA}
$$
Express a trigonometric function of this angle $\widehat{PAB}$ in terms of the trigonometric functions of the angles $A, B$ and $C$.