qualitative interpretation of features of graphs of functions, including those of real data not explicitly represented by a rule, with approximate location of any intercepts, stationary points and points of inflection

U1.AoS1.7

the effect of transformations of the plane, dilation, reflection in axes, translation and simple combinations of these transformations, on the graphs of functions

U2.AoS1.1

the unit circle, radians, arc length and sine, cosine and tangent as functions of a real variable

U2.AoS1.19

sketch by hand the unit circle, graphs of the sine, cosine and exponential functions, and simple transformations of these to the form Af(bx)+c , sketch by hand graphs of log_a(x) and the tangent function, and identify any vertical or horizontal asymptotes

U2.AoS1.4

symmetry properties, complementary relations and periodicity properties for sine, cosine and tangent functions

U2.AoS1.5

circular functions of the form y=Af(nx)+c and their graphs, where f is the sine, cosine or tangent function

U2.AoS1.14

the key features and properties of the circular functions sine, cosine and tangent, and their graphs, including any vertical asymptotes

U2.AoS1.20

draw graphs of circular, exponential and simple logarithmic functions over a given domain and identify and discuss key features and properties of these graphs, including any vertical or horizontal asymptotes

U2.AoS1.15

the effect of transformations of the plane on the graphs of sine, cosine, tangent and exponential functions

U2.AoS1.21

describe the effect of transformations of the plane on the graphs of the sine, cosine, tangent and exponential functions

8.08 Tangent function

Interactive practice questions

Outcomes

U1.AoS1.2