To draw the graph of any trigonometric function we should remember few values
For Sin FUNCTION:
Example: Sin0 =0 , sin 30= 1/2 , sin 90=1
Range : [tex]-1\leq sinx\leq 1[/tex]
Domain :[tex]\left ( -\infty ,\infty \right )[/tex]
Period :[tex]2\pi[/tex]
Similarly for Cosine
Cos0=1 , cos30=[tex]\frac{\sqrt{3}}{2}[/tex] , cos90=0
Range : [tex]-1\leq cosx\leq 1[/tex]
Domain :[tex]\left ( -\infty ,\infty \right )[/tex]
Period :[tex]2\pi[/tex]
For Tangent
tan 0= 0, tan 30=[tex]\frac{1}{\sqrt{3}}[/tex] , tan90=[tex]\infty[/tex]
Range : [tex]\Re[/tex]
Domain :[tex]\left \{ x|x\neq \frac{\pi}{2} +k\pi, k=....,-1,0,1,....\right \}[/tex]
Period :[tex]\pi[/tex]
please see the attachments of the graphs of sin, cosine, tangent function
