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Trigonometric Functions

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Question 179
a.

Use the identity tan⁡2θ=sec⁡2θ−1\tan^2\theta = \sec^2\theta - 1tan2θ=sec2θ−1 to prove that cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1

[2]
b.

Given that θ=120∘\theta=120^\circθ=120∘ is a solution of the equation,

tan⁡2θ+sec⁡2θ+ksec⁡θ=2 \tan^2\theta + \sec^2\theta + k\sec\theta = 2 tan2θ+sec2θ+ksecθ=2

where k k\,k is a constant, find the value of k k\,k and hence solve, for 0≤θ≤3600 \leq \theta \leq 3600≤θ≤360, the equation.

Give your answers to 1 decimal place.

[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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