GCSE Maths (AQA)

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The Tangent Graph

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Geometry and Measures Mensuration and Calculation

The Tangent Graph

5:51 Trigonometric Graphs
Spec A12
Previous The Cosine Graph Next The Sine Rule
  • The graph of y equals tan x can be found by dividing the height by the base of the triangle in a unit circle.
  • Tan x is equal to the opposite divided by the adjacent of a right angled triangle.
  • The x and y coordinates of the graph can take any value.
  • When the x coordinate is close to 0, the y coordinate is close to 0.
  • When the x coordinate is close to 90, the y coordinate becomes very large.
  • The tan graph has many asymptotes, including one at 270 degrees.
  • Asymptotes occur whenever the triangle has no width.
  • As x tends to 270 degrees, tan x tends to infinity.
  • Asymptotes are at plus or minus 90 degrees, plus or minus 270 degrees, plus or minus 450 degrees.
  • The graph is periodic and repeats every 180 degrees.
  • There are points on the graph where tan of x equals 0, such as at 180 and 360 degrees.

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