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3.4.2 Trigonometry (A-level only)

Write sec⁡x\sec xsecx in terms of cos⁡x\cos xcosx.

A

For y=arcsin⁡xy=\arcsin xy=arcsinx, the domain is −1≤x≤1\boxed{-1\leq x\leq1}−1≤x≤1​ and the principal range is −π2≤y≤π2-\frac{\pi}{2}\leq y\leq\frac{\pi}{2}−2π​≤y≤2π​.

B

sec⁡x=1cos⁡x\sec x=\frac{1}{\cos x}secx=cosx1​

C

For y=arccos⁡xy=\arccos xy=arccosx, the principal range is 0≤y≤π0\leq y\leq\pi0≤y≤π. For y=arctan⁡xy=\arctan xy=arctanx, the domain is all real numbers and the principal range is −π2<y<π2\boxed{-\frac{\pi}{2}<y<\frac{\pi}{2}}−2π​<y<2π​​.

D

The range of both y=sec⁡xy=\sec xy=secx and y=cosec⁡xy=\cosec xy=cosecx is y≤−1y\leq-1y≤−1 or y≥1y\geq1y≥1. Between consecutive asymptotes, each branch of y=cot⁡xy=\cot xy=cotx decreases.

3.4.2 Trigonometry (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /3.4.2 Trigonometry (A-level only)

Flashcards for CCEA A Level Maths 3.4.2 Trigonometry (A-level only), covering the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2. 24 cards, matched to the CCEA A Level Maths (2210) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.