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Trigonometric Functions

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Question 114
a.

Prove that cos⁡θ+sin⁡θtan⁡θ≡sec⁡θ\cos \theta + \sin \theta \tan \theta \equiv \sec \thetacosθ+sinθtanθ≡secθ

[4]
b.

Hence show that the equation cos⁡θ+sin⁡θtan⁡θ=4cos⁡θ\cos \theta + \sin \theta \tan \theta = 4 \cos \thetacosθ+sinθtanθ=4cosθ can be rearranged to give cos⁡2θ=14\displaystyle \cos^2 \theta = \frac{1}{4}cos2θ=41​

[2]
c.

Hence find the exact roots of the equation cos⁡θ+sin⁡θtan⁡θ=4cos⁡θ\cos \theta + \sin \theta \tan \theta = 4 \cos \thetacosθ+sinθtanθ=4cosθ, for 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π

[2]
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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