Adjacent, Opposite Side And Hypotenuse

Sin

• Sin x = Opposite / Hypotenuse

• Sin tells us the ratio of sides in a triangle based on an angle.

• The formula of sin is easy to remember by the term SOH, as sin = Opposite/Hypotenuse

Cos

• Cos x = Adjacent / Hypotenuse

• Cosine of an angle is the ratio of the side next to the angle (adjacent) to the longest side (hypotenuse).

• Cos can be remember as CAH, C = Adjacent / Hypotenuse

Tan

• Tan x = Sin/Cos or Opposite / Adjacent

• Tan = sin/cos ?,

  this is because sin = opposite / hypotenuse and cos = adjacent / hypotenuse

  Sin/cos = opposite/hypotenuse/ adjacent/ hypotenuse

  hypotenuse gets canceled

  sin/cos = opposite/adjacent

• Tangent tells you the ratio between the opposite and adjacent side

• Tan is easy to remember by TOA, t = opposite/adjacent

SOH, CAH And TOA

• SOH, CAH And TOA are prefixes that assist you to remember trigonometric formulas