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Trigonometric Functions

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Question 169

Given that x=−sin⁡−1(14)x=-\sin^{-1}\left(\dfrac{1}{4}\right)x=−sin−1(41​) is a solution of the equation,

kcos⁡x+cot⁡x=0 k \cos x + \cot x = 0 kcosx+cotx=0

find the value of kkk.

Hence solve, for −π≤x≤π-\pi \leq x \leq \pi−π≤x≤π, the equation.

Give your answers to 2 decimal places where appropriate.

[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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