A LevelMaths: PureOCRRevision Notes5. Trigonometry5.5 Reciprocal & Inverse Trigonometric Functions5.5.1 Reciprocal Trig Functions - Definitions

Reciprocal Trig Functions - Definitions (OCR A Level Maths: Pure)

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Reciprocal Trig Functions - Definitions

What are the reciprocal trigonometric functions?

  • There are three reciprocal trig functions corresponding to the three regular trig functions

 Recip-Trig-Functs-Defs, A Level & AS Maths: Pure revision notes

  • Cotangent can also be written in terms of sine and cosine

Recip Trig Functs Cotan, A Level & AS Maths: Pure revision notes

Examiner Tip

  • To solve equations with the reciprocal trig functions, convert them into the regular trig functions and solve in the usual way.
  • Don't forget that both tan and cot can be written in terms of sin and cos (see the Worked Example below).
  • You will sometimes see csc instead of cosec for cosecant.

Worked example

Recip Trig Functs Example, A Level & AS Maths: Pure revision notes

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    Roger

    Author: Roger

    Expertise: Maths

    Roger's teaching experience stretches all the way back to 1992, and in that time he has taught students at all levels between Year 7 and university undergraduate. Having conducted and published postgraduate research into the mathematical theory behind quantum computing, he is more than confident in dealing with mathematics at any level the exam boards might throw at you.