Question

1. Sketch the 3 trigonometric functions of sin θ, cos θ and tan θ over one complete cycle, where 00 ≤ θ ≤ 360 

 

Complete the sketches on separate graphs for the three trigonometric functions. 

Answer 1

$0\leq\theta\leq360\degree$

$$y=\sin \theta, Period=360\degree$$

$$y=\cos \theta, Period=360\degree$$

$$y=\tan \theta, Period=180\degree,$$

$$\text{Vertical\ asymptotes}\ \theta=90\degree+180\degree n, n\in\Z$$