The characteristics of sine graph, \(y = \sin x\):

• has a maximum value of 1 when \(x = 90^\circ\) and a minimum value of –1 when \(x = 270^\circ \)
• intercepts \(x\)-axis at \(x = 0^\circ,180^\circ,360^\circ \) (\(x\)-intercept)
• intercepts -axis at \(y=0\) ( \(y\)-intercept)

The characteristics of cosine graph, \(y = \cos x\):

• has a maximum value of 1 when \(x = 0^\circ\) and \(x = 360^\circ\) and a minimum value of –1 when \(x = 180^\circ\)
• intercepts \(x\)-axis at (\(x\)-intercept)
• intercepts \(y\)-axis at y = 1 (\(y\)-intercept)

The characteristics of tangent graph, \(y = \tan x\):

• maximum value is \(\infty\) and minimum value is \(-\infty\)
• intercepts \(x\)-axis at \(x = 0^\circ,180^\circ,360^\circ \) (\(x\)-intercept)
• intercepts \(y\)-axis at \(y=0\) ( \(y\)-intercept)
• the values of  \(\tan90^\circ\) and \(\tan 270^\circ\) are undefined