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Trigonometric Ratios

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Question 49

In the triangle ABCABCABC, AB=(x+6)cmAB = (x + 6)\text{cm}AB=(x+6)cm, BC=(x+4)cmBC = (x + 4)\text{cm}BC=(x+4)cm, AC=xcmAC = x\text{cm}AC=xcm and angle BAC=60∘BAC = 60^\circBAC=60∘

a.

Show that

(x+4)2=(x+6)2+x2−x(x+6) (x+4)^2=(x+6)^2+x^2-x(x+6) (x+4)2=(x+6)2+x2−x(x+6)
[1]
b.

Hence find the value of xxx.

[3]
Markscheme

Trigonometric Ratios Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Ratios

217 exam-style questions on Edexcel A Level Maths Trigonometric Ratios, covering 9.1 The Cosine Rule, 9.2 The Sine Rule, 9.3 Areas of Triangles, 9.4 Solving Triangle Problems, 9.5 Graphs of Sine, Cosine and Tangent, and 9.6 Transforming Trigonometric Graphs. Each one has a worked solution and a mark scheme showing where the marks go.

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