Problem #PRU-111925

Problemas Cálculo Números reales Partes entera y fraccionaria. Propiedad de Arquímedes Métodos Principio del casillero Principio del casillero (ángulos y longitudes)

Problem

On the plane coordinate axes with the same but not stated scale and the graph of the function \(y = \sin x\), \(x\) \((0; \alpha)\) are given.

How can you construct a tangent to this graph at a given point using a compass and a ruler if: a) \(\alpha \in (\pi /2; \pi)\); b) \(\alpha \in (0; \pi /2)\)?