Maths C4 Trig formulae (OCR MEI)

Zacchaeus Snape
Quiz by , created over 5 years ago

Quiz to test the required trig formulae for C4, designed with OCR MEI spec in mind, but probably useful for others

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Zacchaeus Snape
Created by Zacchaeus Snape over 5 years ago
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Question 1

Question
Write cos2x in terms of sinx
Answer
  • 1+ 2sin²x
  • 1-2sin²x
  • 1+sin²x
  • 1-sin²x

Question 2

Question
Write cos2x in terms of cosx
Answer
  • 2cos²x + 1
  • cos²x -1
  • 2cos²x - 1
  • cos²x + 1

Question 3

Question
Write sin²x in terms of cos2x
Answer
  • ½(1 + cos2x)
  • ½(1 - cos2x)
  • ½cos2x
  • 1 - cos2x

Question 4

Question
Write cos²x in terms of cos2x
Answer
  • ½(cos2x + 1)
  • ½(cos2x - 1)
  • cos2x -1
  • cos2x + 1

Question 5

Question
Write cos²x in terms of cos2x
Answer
  • ½(cos2x + 1)
  • ½(cos2x - 1)
  • cos2x -1
  • cos2x + 1

Question 6

Question
Express cos2x in terms of sinx and cosx
Answer
  • cos²x - sin²x
  • cos²x + sin²x
  • sin²x - cos²x
  • 2cos²x - sin²x

Question 7

Question
Express sin2x in terms of sinx and cosx
Answer
  • 2sinxcosx
  • 2sinx + cosx
  • 2cosx + sinx
  • 2(sinx + cosx)

Question 8

Question
secx =
Answer
  • 1/cosx
  • 1/sinx
  • 1/tanx

Question 9

Question
cosecx =
Answer
  • 1/sinx
  • 1/cosx
  • 1/tanx

Question 10

Question
cotx =
Answer
  • 1/tanx
  • 1/cosx
  • 1/sinx

Question 11

Question
What is the small angle approximation for sinθ?
Answer
  • θ
  • 1 - θ
  • 1 - 2θ

Question 12

Question
What is the small angle approximation for cosθ?
Answer
  • 1 - θ²/2
  • 1 - θ²
  • θ
  • θ²

Question 13

Question
What is the small angle approximation for tanθ?
Answer
  • θ²
  • θ
  • 1 + θ
  • θ - 1