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Trigonometric Ratios

Trigonometric Ratios

Section titled “Trigonometric Ratios”

For a right-angled triangle:

  • sin⁡θ=OPPHYP\sin \theta = \frac{\text{OPP}}{\text{HYP}} (SOH)
  • cos⁡θ=ADJHYP\cos \theta = \frac{\text{ADJ}}{\text{HYP}} (CAH)
  • tan⁡θ=OPPADJ\tan \theta = \frac{\text{OPP}}{\text{ADJ}} (TOA)

The direction of the resultant vector uses: tan⁡θ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}} θ=tan⁡−1(oppositeadjacent)\theta = \tan^{-1} \left( \frac{\text{opposite}}{\text{adjacent}} \right)