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Trigonometric Identities and Equations

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Question 167
a.

Given that θ=390∘\theta = 390^\circθ=390∘ is a solution, solve, for 360≤θ<720∘360 \leq \theta < 720^\circ360≤θ<720∘, the equation 2cos⁡θ=ktan⁡θ2 \cos \theta = k \tan \theta2cosθ=ktanθ, finding the value of kkk.

[5]
b.

The first four positive solutions, in order of size, of the equation cos⁡(2a+80)=c\cos(2a + 80) = ccos(2a+80)=c are a1a_1a1​, a2a_2a2​, a3 a_3\,a3​ and a4a_4a4​. Given that a4=350∘a_4=350^\circa4​=350∘, find the value of ccc.

[3]
Markscheme

Trigonometric Identities and Equations Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Identities and Equations

322 exam-style questions on Edexcel A Level Maths Trigonometric Identities and Equations, covering 10.1 Angles in all four Quadrants, 10.2 Exact Values of Trigonometric Ratios, 10.3 Trigonometric Identities, 10.4 Solving Trigonometric Equations, 10.5 Harder Trigonometric Equations, and 10.6 Equations and Identities. Each one has a worked solution and a mark scheme showing where the marks go.

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