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A-Level Maths Revision | Trigonometry (Year 13)

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Radians

  • 180 degrees = pi radians
  • 360 degrees = 2 pi radians
  • 90 degrees = 1/2 pi radians
  • To convert degrees to radians: divide by 180 and times by pi
  • To convert radians to degrees: divide by pi and times by 180

sec(x), cosec(x) and cot(x)

  • sec(x) = 1/cos(x)
  • cosec(x) = 1/ sin(x)
  • cot(x) = 1/tan(x)

Question 1

Question 2

Question 3 (Hard)

Pythagorean Identities

  • S = I + T
  • sec2(x) = 1 + tan2(x)
  • cosec2(x) = 1 + cot2(x)

Question 4

Question 5

Question 6

Question 7

Compound Angle Identities

  • sin(A+B) = sinAcosB + cosAsinB
  • cos(A+B) = cosAcosB - sinAsinB
  • If one sign changes e.g. + to = then all the signs change
  • To derive sin(2A), work out sin(A+A) and cos(2A) would be cos(A+A)
  • sin(2A) = 2sinAcosA
  • cos(2A) = 1 - 2sin2A or 2cos2A - 1

Question 8

Question 9

Question 10

Question 11

R-Transformations

A-Level Maths Test | Trigonometry R-Transformations
45 marks Question 1 Question 2 Question 3 Question 4
Tooting TutorsJaisul Naik