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1.8.4 Reciprocal and inverse trigonometric functions (A-level only)

Card 1 of 24

The reciprocal functions are [...]\text{[...]}[...] and cosec⁡x=1sin⁡x\operatorname{cosec}x=\dfrac{1}{\sin x}cosecx=sinx1​.

A

The reciprocal functions are sec⁡x=1cos⁡x\boxed{\sec x=\dfrac{1}{\cos x}}secx=cosx1​​ and cosec⁡x=1sin⁡x\operatorname{cosec}x=\dfrac{1}{\sin x}cosecx=sinx1​.

B

−π2≤y≤π2-\dfrac{\pi}{2}\leq y\leq\dfrac{\pi}{2}−2π​≤y≤2π​

C

The reciprocal identities are 1+tan⁡2x=sec⁡2x1+\tan^2x=\sec^2x1+tan2x=sec2x and 1+cot⁡2x=cosec⁡2x\boxed{1+\cot^2x=\operatorname{cosec}^2x}1+cot2x=cosec2x​.

D

π6\dfrac{\pi}{6}6π​, the value in the principal range.

Card 1 of 24

1.8.4 Reciprocal and inverse trigonometric functions (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.8.4 Reciprocal and inverse trigonometric functions (A-level only)

24 flashcards on AQA A Level Maths 1.8.4 Reciprocal and inverse trigonometric functions (A-level only): the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

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