CIE A Level Maths: Pure 1复习笔记3.5.1 Modelling with Trigonometric Functions
Modelling with Trigonometric Functions
Modelling with trigonometric functions
- Various real-life situations can be modelled using trigonometric functions
- You need to be able to interpret the equations used in the model
- If you need to identify maximum or minimum values of a formula, remember the bounds of the sin and cos functions:
- -1 ≤ sin x ≤ 1
- -1 ≤ cos x ≤ 1
- You may also need to discuss the period of an equation
- The period is often indicated by T
- For a periodic function in x like sin or cos, the period is how much x has to change by for the function to go through one complete cycle
- For functions of the form cos (qx+ r) or sin (qx + r) the period T is:
Exam Tip
- The variable in these questions is often t for time.
- Read the question carefully to make sure you know what you are being asked to solve.
Worked Example
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