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Trigonometric Functions

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Question 9

Let k k\,k be a positive integer.

a.

Sketch the graphs of cos⁡θ \cos \theta\,cosθ and sec⁡θ\sec \thetasecθ, on the same set of axes, in the interval 0≤θ≤kπ0 \leq \theta \leq k\pi0≤θ≤kπ. Label all points of intersection in terms of kkk.

[5]
b.

Sketch the graphs of sin⁡θ \sin \theta\,sinθ and csc⁡θ\csc \thetacscθ, on the same set of axes, in the interval 0≤θ≤kπ0 \leq \theta \leq k\pi0≤θ≤kπ. Label all points of intersection in terms of kkk.

[5]
c.

Sketch the graphs of tan⁡θ \tan \theta\,tanθ and cot⁡θ\cot \thetacotθ, on the same set of axes, in the interval 0≤θ≤kπ0 \leq \theta \leq k\pi0≤θ≤kπ. Label all points of intersection in terms of kkk.

[5]
Markscheme

Trigonometric Functions Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Functions

274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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