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Learning objective

Identify, draw, and analyze the graphs of the following functions for angles between 0° and 360°: y = sin x, y = cos x, and y = tan x. Solve equations involving sin x, cos x, or tan x within the range of 0° to 360°, such as sin x = 2 or 2 cos x + 1 = 0.

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Cambridge IGCSE MathematicsExtended TrigonometrySupplement content

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Identify, draw, and analyze the graphs of the following functions for angles between 0° and 360°: y = sin x, y = cos x, and y = tan x. Solve equations involving sin x, cos x, or tan x within the range of 0° to 360°, such as sin x = 2 or 2 cos x + 1 = 0

  • This point belongs to Trigonometric functions, especially Trigonometric functions outcomes.
  • You need to be able to identify, draw, and analyze the graphs of the following functions for angles between 0° and 360°: y = sin x, y = cos x, and y = tan x. Solve equations involving sin x, cos x, or tan x within the range of 0° to 360°, such as sin x = 2 or 2 cos x + 1 = 0.
  • The key ideas to know are Sketch, Show, and Determine.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

SketchShowDetermineCalculate

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Paper 2 structured question: Trigonometric functions

Paper 2Core or Extended Mathematics3 marks

Description

Graph of y = cos x

Consider the graph of y = cos x for x between 0° and 360°. The graph starts at y = 1 when x = 0°, decreases to y = 0 at 90°, reaches y = -1 at 180°, returns to y = 0 at 270°, and back to y = 1 at 360°.

  1. a

    Calculate Find all values of x between 0° and 360° that satisfy the equation 2 cos x + 1 = 0.

    Aim for approximately 3 distinct marking points.

    [3]
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