[b]uSine[/u]/b

Domain: (x∈ℝ \qquad) Range: (-1≤y≤1)

Periodicity: (360\degree) or (2\pi) rowcol(\sin{0\degree}=\sin{0}=0)

(\sin{30\degree}=\sin{\dfrac{\pi}{6}}=\dfrac{1}{2})/colcol(\sin{45\degree}=\sin{\dfrac{\pi}{4}}=\dfrac{1}{\sqrt{2}})

(\sin{60\degree}=\sin{\dfrac{\pi}{3}}=\dfrac{\sqrt{3}}{2})/colcol(\sin{90\degree}=\sin{\dfrac{\pi}{2}}=1)

(\sin{180\degree}=\sin{\pi}=0)[/col]/row

mtaimg/images/topics/5/5-51-1.png/mtaimg

[b]uCosine[/u]/b

Domain: (x∈ℝ \qquad) Range: (-1≤y≤1)

Periodicity: (360\degree) or (2\pi) rowcol(\cos{0\degree}=\cos{0}=1)

(\cos{30\degree}=\cos{\dfrac{\pi}{6}}=\dfrac{\sqrt{3}}{2})/colcol(\cos{45\degree}=\cos{\dfrac{\pi}{4}}=\dfrac{1}{\sqrt{2}})

(\cos{60\degree}=\cos{\dfrac{\pi}{3}}=\dfrac{1}{2})/colcol(\cos{90\degree}=\cos{\dfrac{\pi}{2}}=0)

(\cos{180\degree}=\cos{\pi}=1)[/col]/row

mtaimg/images/topics/5/5-51-2.png/mtaimg

[b]uTangent[/u]/b

Domain: (x∈ℝ, x\neq90\degree \qquad) Range: (y∈ℝ)

Periodicity: (180\degree) or (\pi)

Asymptote: (x=90\degree, 270\degree, ...) or (x=\dfrac{\pi}{2}, \dfrac{3\pi}{2}, ...) rowcol(\tan{0\degree}=\tan{0}=0)

(\tan{30\degree}=\tan{\dfrac{\pi}{6}}=\dfrac{1}{\sqrt{3}})/colcol(\tan{45\degree}=\tan{\dfrac{\pi}{4}}=1)

(\tan{60\degree}=\tan{\dfrac{\pi}{3}}=\sqrt{3})/colcol(\tan{90\degree}=\tan{\dfrac{\pi}{2}}=undefined)

(\tan{180\degree}=\tan{\pi}=0)[/col]/row

mtaimg/images/topics/5/5-51-3.png/mtaimg