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Trigonometric Functions

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Question 10
a.

Prove that: sec⁡6x−tan⁡6x≡1+3tan⁡2x+3tan⁡4x\sec^6x - \tan^6x \equiv 1 + 3 \tan^2x + 3 \tan^4xsec6x−tan6x≡1+3tan2x+3tan4x

[3]
b.

Hence solve, for 0∘≤x≤360∘0^\circ \leq x \leq 360^\circ0∘≤x≤360∘, the equation,

sec⁡6x−tan⁡6x=7 \sec^6x - \tan^6x = 7 sec6x−tan6x=7
[4]
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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