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Trigonometric Functions

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Question 158

For 0≤x≤2π0 \leq x \leq 2\pi0≤x≤2π, the solutions of the equation,

acot⁡x=bsec⁡x a \cot x = b \sec x acotx=bsecx

are

x=16π, 56π x = \frac{1}{6}\pi,\ \frac{5}{6}\pi x=61​π, 65​π

Given that a a\,a and b b\,b are positive integers and a+b=5a+b=5a+b=5, find the values of a a\,a and bbb.

[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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