SOLUTION: 1.a) On the same set of axes, sketch and label graphs of y= sin (1 /2)x and y= 2 cos x as x varies from 0 to 2 pi radians. b) Using
![Sketch the graph of y = 2\cos{x} on the interval \left [ -2\pi, 2\pi \right ]. Determine the amplitude and period. | Homework.Study.com Sketch the graph of y = 2\cos{x} on the interval \left [ -2\pi, 2\pi \right ]. Determine the amplitude and period. | Homework.Study.com](https://homework.study.com/cimages/multimages/16/jdgraph0601217207600018995968271.png)
Sketch the graph of y = 2\cos{x} on the interval \left [ -2\pi, 2\pi \right ]. Determine the amplitude and period. | Homework.Study.com
![real analysis - Prove that, $\cos x\ge1-{2x\over\pi}\ \forall x\in[0,{\pi\over2}]$ - Mathematics Stack Exchange real analysis - Prove that, $\cos x\ge1-{2x\over\pi}\ \forall x\in[0,{\pi\over2}]$ - Mathematics Stack Exchange](https://i.stack.imgur.com/wunIp.png)