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Trigonometric functions and their graphsEdexcel International A Level Maths: Flashcards

What these 13 flashcards ask

  • Period of \sin x and \cos x?
  • Period of \tan x?
  • Range of \sin x and \cos x?
  • Where are the asymptotes of \tan x?
  • Transformation giving y=a\sin x from y=\sin x?
  • Transformation giving y=\sin(x+c)?
  • Transformation giving y=\sin(bx)?
  • Period of \sin(bx)?
  • Is \sin x odd or even?
  • Is \cos x odd or even?
  • Second solution of \sin x=k in [0,2\pi]?
  • How do cosine and sine graphs relate?
  • First step in solving \sin(2x)=k on 0\le x\le2\pi?

Exam questions on Trigonometric functions and their graphs

  1. The function ff is defined by f(x)=3sin⁡xf(x)=3\sin x, where xx is in radians.
    Describe the single transformation that maps the curve y=sin⁡xy=\sin x onto the curve y=f(x)y=f(x).2 marks
  2. The function gg is defined by g(x)=sin⁡(x+π6)g(x)=\sin\left(x+\frac{\pi}{6}\right), where xx is in radians.
    Solve g(x)=1g(x)=1 for 0≤x≤2π0\le x\le2\pi.2 marks
  3. The function hh is defined by h(x)=sin⁡2xh(x)=\sin2x, where xx is in radians.
    State the period of hh and find all solutions of h(x)=0h(x)=0 in the interval 0≤x≤π0\le x\le\pi.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).