Trigonometry

Explore how angles and side lengths connect in right-angled triangles.

The right-angled triangle

For angle θ, the three trigonometric ratios compare different pairs of sides.

θ Adjacent Opposite Hypotenuse
OppositeAdjacentHypotenuse
Side names are measured from angle θ. The small square marks the 90° angle.

Remember SOH CAH TOA

SOH: sine = opposite ÷ hypotenuse
CAH: cosine = adjacent ÷ hypotenuse
TOA: tangent = opposite ÷ adjacent

Sine (sin)

Opposite ÷ hypotenuse →

Cosine (cos)

Adjacent ÷ hypotenuse →

Tangent (tan)

Opposite ÷ adjacent →

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