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1.4.5 Trigonometry

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Which side ratio gives sin⁡x\sin xsinx in a right-angled triangle?

A

The tangent identity is tan⁡x≡sin⁡xcos⁡x\boxed{\tan x\equiv\dfrac{\sin x}{\cos x}}tanx≡cosxsinx​​, where cos⁡x≠0\cos x\neq0cosx=0.

B

Every side gains the same scale factor, which cancels in each ratio.

C

Taking a square root when finding cosine gives cos⁡x=±1−sin⁡2x\boxed{\cos x=\pm\sqrt{1-\sin^2x}}cosx=±1−sin2x​​; the quadrant determines the sign.

D

oppositehypotenuse\dfrac{\text{opposite}}{\text{hypotenuse}}hypotenuseopposite​

Card 1 of 20

1.4.5 Trigonometry Flashcards

  1. A Level
  2. /Maths
  3. /1.4.5 Trigonometry

20 flashcards on CCEA A Level Maths 1.4.5 Trigonometry: the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.

Flashcards