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Toolkit 80

Trigonometric Ratios in a Right Triangle

Right triangle ABC with right angle at A and angle alpha at C
sin⁡α=Opposite SideHypotenuse=ABBC\sin\alpha=\frac{\text{Opposite Side}}{\text{Hypotenuse}}=\frac{AB}{BC}
cos⁡α=Adjacent SideHypotenuse=ACBC\cos\alpha=\frac{\text{Adjacent Side}}{\text{Hypotenuse}}=\frac{AC}{BC}
tan⁡α=Opposite SideAdjacent Side=ABAC\tan\alpha=\frac{\text{Opposite Side}}{\text{Adjacent Side}}=\frac{AB}{AC}
cot⁡α=Adjacent SideOpposite Side=ACAB\cot\alpha=\frac{\text{Adjacent Side}}{\text{Opposite Side}}=\frac{AC}{AB}
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