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Trigonometric Ratios

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Question 35

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=32(x+y) cm2\displaystyle ABC = \frac{\sqrt{3}}{2}(x+y)\text{ cm}^2ABC=23​​(x+y) cm2.

a.

Show that 2x+2y=xy2x + 2y = xy2x+2y=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 yyy.

[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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