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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 128

In the study of oscillatory motion, the angular displacement of a mechanical sensor is determined to be zero when the tilt angle β\betaβ satisfies the equation

16cos⁡β=5.2cosec⁡β 16 \cos \beta = 5.2 \operatorname{cosec} \beta 16cosβ=5.2cosecβ

where 0∘<β<90∘0^\circ < \beta < 90^\circ0∘<β<90∘.

a.

Show that this equation can be expressed in the form

sin⁡2β=k \sin 2\beta = k sin2β=k

where kkk is a constant to be determined.

[4]
b.

Hence determine the smallest positive value of β\betaβ, giving your answer in degrees to one decimal place.

[3]
Markscheme

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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