Question

Help me state the side lengths ratio for each trigonometric function

Answer 1

Trigonometric ratios relate the angles of a triangle to the length of the sides.

Given a triangle as shown below

The side opposite the angle θ is referred to as the Opposite and the side opposite the right-angle is referred to as the Hypotenuse. The remaining side is the Adjacent.

The Sine ratio is given as

`\sin \theta=\frac{\text{Opposite}}{\text{Hypotenuse}}`

The Tangent ratio is given as

`\tan \theta=(Opposite)/(Adjacent)`

The Cosine ratio is given as

`\cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}}`

A mnemonic to easily remember is SOH CAH TOA.