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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 3
a.

Show that the equation

2sec⁡2x+4tan⁡2x+10sec⁡x=02\sec^2 x + 4\tan^2 x + 10\sec x = 02sec2x+4tan2x+10secx=0

can be written in the form

asec⁡2x+bsec⁡x+c=0a\sec^2 x + b\sec x + c = 0asec2x+bsecx+c=0

where aaa, b b\,b and c c\,c are integers with a>0 a > 0\,a>0 and with no common factor other than 1.

[2]
b.

Hence, given that x x\,x is obtuse, find the exact value of tan⁡x\tan xtanx.

[5]
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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