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CIE A Level Maths: Pure 1復(fù)習(xí)筆記3.4.1 Trigonometry - Simple Identities

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年8月19日 上午10:12

Trigonometry - Simple Identities

What is a trigonometric identity?

  • Trigonometric identities are statements that are true for all values of?x?or theta (θ)
  • They are used to help simplify trig equations before solving them
  • The first two identities you must know are:

5.3.1-Trigonometry-Simple-Identities-Diagram-1

Where do these identities come from?

  • Although you don’t need to know the proof for these identities it is important to understand where they come from

5.3.1-Trigonometry-Simple-Identities-Diagram-2a??5.3.1-Trigonometry-Simple-Identities-Diagram-2b

How to use the identities

5.3.1-Trigonometry-Simple-Identities-Diagram-3

Exam Tip

  • If asked to show one thing is identical (≡) another look at what parts are missing –? for example, if tan x has gone it must have been substituted.

Worked Example

5.3.1-Trigonometry-Simple-Identities-Example-Answer

 

 

 

 

 

 

 

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