Question

can somebody explain, why did the graph shrink at sin2x, and expand at sinx/2​

Answer 1

Explanation:

It is very simple if you try to imagine it properly. When you are drawing graph of sin 2x, the angle in the sin function will be 2 times of the angle you have selected. For example, if you have taken angle 15°, you will get value of sin what we we get on angle=30°.Therefore,the graph will be completed at x=180° as you will get the value of sin what you usually get at 360°, i.e. 0.Therefore the graph is shrinked.In case of sin x/2, the anglw taken is halved hence the value that we should get at 360° is found at 720°. Therefore the graph is shrinked. That is how it works.