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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 1

A sector of a circle has radius r r\,r cm and angle θ \theta\,θ radians, where 0<θ<π0 < \theta < \pi0<θ<π.

The perimeter of the sector is 20 cm and the area of the sector is 24 cm2^22.

a.

Show that r r\,r satisfies the equation r2−10r+24=0r^2 - 10r + 24 = 0r2−10r+24=0.

[4]
b.

Hence find the two possible pairs of values of r r\,r and θ\thetaθ.

[3]
c.

State, with a reason, which of the two sectors has the longer arc.

[1]
Markscheme

3.5 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Trigonometry (A-level only)

225 exam-style questions on WJEC A Level Maths 3.5 Trigonometry (A-level only), covering 3.5.1 Trigonometry (A-level only), 3.5.2 Trigonometry (A-level only), 3.5.3 Trigonometry (A-level only), 3.5.4 Trigonometry (A-level only), 3.5.5 Trigonometry (A-level only), 3.5.6 Trigonometry (A-level only), 3.5.7 Trigonometry (A-level only), and 3.5.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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