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Trigonometric Ratios

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Question 71

In triangle ABCABCABC, AB=xAB = xAB=x, AC=yAC = yAC=y and angle A=60∘A = 60^\circA=60∘. It is given the area of ABC=k3(x+y) cm2ABC = k\sqrt{3}(x+y)\text{ cm}^2ABC=k3​(x+y) cm2, where k k\,k is a positive constant.

a.

Show that 4kx+4ky=xy4kx + 4ky = xy4kx+4ky=xy

[3]
b.

When the vertices of the triangle are placed on the circumference of a circle, AC AC\,AC is a diameter of the circle. Determine the value of x x\,x and the value of y y\,y in terms of kkk.

[4]
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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