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Trigonometric Functions

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Question 172
a.

Use the identity cosec⁡2θ=1+cot⁡2θ\operatorname{cosec}^2\theta = 1 + \cot^2\thetacosec2θ=1+cot2θ to prove that cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1

[2]
b.

Verify, for 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π, that the equation,

cosec⁡2θ+cot⁡2θ=3 \operatorname{cosec}^2\theta + \cot^2\theta = 3 cosec2θ+cot2θ=3

has solutions π4,3π4,5π4,7π4\displaystyle \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}4π​,43π​,45π​,47π​.

[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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