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Summary OCR MEI Mathematics: Year 2 Pure - Trigonometric Identities Cheat Sheet

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  • Course
  • Year 2 Pure - Trigonometric Identities (H640)
  • Institution
  • OCR

This document briefly summarises the key points in the Year 2 'Trigonometric Identities' topic of OCR's Mathematics (MEI) course.

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Document information

  • January 25, 2021
  • 1
  • 2020/2021
  • Summary

Subjects

  • ocr
  • mei
  • maths
  • mathematics
  • a level
  • year 2
  • year 13
  • pure
  • trigonometry
  • trigonometric
  • identities

Written for

  • A/AS Level
  • OCR
  • Mathematics
  • Year 2 Pure - Trigonometric Identities (H640)
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Trigonometric Identities
Compound Angle Formulae
sin(A + B ) = sinA cosB + cosA sinB
sin(A − B ) = sinA cosB − cosA sinB
cos(A + B ) = cosA cosB − sinA sinB
cos(A − B ) = cosA cosB + sinA sinB
tanA + tanB
tan(A + B ) = 1−tanA tanB
tanA − tanB
tan(A − B ) = 1 + tanA tanB


Double Angle Formulae
sin2A = 2 sinA cosA
cos 2A = cos2 A − sin2 A
= 1 − sin2 A
= 2cos2 A − 1
2tan A
tan2A = 1−tan 2A




Alternative Forms
a sinθ + b cosθ = r sin(θ + α)
a sinθ − b cosθ = r sin(θ − α)
a cosθ + b sinθ = r cos(θ − α)
a cosθ − bsinθ = r cos(θ + α)
W here r = √a2 + b2 and tan α = b
a

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