Problem #PRU-111925

Problems Methods Real numbers Integer and fractional parts. Archimedean property Pigeonhole principle (angles and lengths) Pigeonhole principle Calculus

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) \(\alpha \in (0; \pi /2)\)?