GCSE Maths (Edexcel)

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Trig Functions & the Unit Circle

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Geometry and Measures Mensuration and Calculation

Trig Functions & the Unit Circle

7:23 Trigonometric Graphs
Spec A12
Previous Using Trig Functions in 3D Next The Sine Graph
  • A unit circle has its center at the origin and a radius of one unit
  • Any point on the unit circle can be described by the angle it makes with the x-axis
  • The x-coordinate of a point on the unit circle is given by cos(theta)
  • The y-coordinate of a point on the unit circle is given by sin(theta)
  • For angles greater than 90 degrees, the values of sin and cos can be determined using the unit circle
  • Certain values of theta give negative values for sin and/or cos
  • For angles greater than 360 degrees, the values of sin and cos repeat
  • For negative angles, the unit circle can be used to determine the values of sin and cos
  • The x-coordinate remains the same for negative angles, but the y-coordinate becomes negative

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