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1.8 E: Trigonometry

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Question 33

a.

Show that the equation

$2\sec^2 x + 4\tan^2 x + 10\sec x = 0$

can be written in the form

$a\sec^2 x + b\sec x + c = 0$

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

[2]

b.

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

[5]

Markscheme

1.8 E: Trigonometry Questions

A Level
Maths
1.8 E: Trigonometry

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.

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