SOH CAH TOA - trigonometry

A way to remember the definitions of the three most common trigonometry functions: sin, cos and tan.

Used as a memory aid for the definitions of the three common trigonometry functions sine, cosine and tangent. When spoken it is usually pronounced a bit like "soaka towa".

SOH	Sine = Opposite over Hypotenuse.
CAH	Cosine = Adjacent over Hypotenuse.
TOA	Tangent = Opposite over Adjacent.

Other trigonometry topics

Angles

• Angle definition, properties of angles
• Standard position on an angle
• Initial side of an angle
• Terminal side of an angle
• Quadrantal angles
• Coterminal angles
• Reference angle

Trigonometric functions

• Introduction to the six trig functions
• Functions of large and negative angles
• Inverse trig functions
• SOH CAH TOA memory aid


• Sine function (sin) in right triangles
• Inverse sine function (arcsin)
• Graphing the sine function
• Sine waves


• Cosine function (cos) in right triangles
• Inverse cosine function (arccos)
• Graphing the cosine function


• Tangent function (tan) in right triangles
• Inverse tangent function (arctan)
• Graphing the tangent function


• Cotangent function cot (in right triangles)
• Secant function sec (in right triangles)
• Cosecant function csc (in right triangles)

Solving trigonometry problems

• The general approach
• Finding slant distance along a slope or ramp
• Finding the angle of a slope or ramp

Calculus

• Derivatives of trigonometric functions