Precalculus review

Flashcards for vocabulary review based on lecture notes.

Explicit Formula

A formula that calculates the nth term of a sequence directly. a_n = f(n)

Recursive Formula

A formula that defines the nth term in terms of previous terms. an = f(a{n-1})

Sigma Notation

A shorthand notation for representing sums. \sum{i=1}^{n} ai

Negative Angle

An angle rotated in the clockwise direction.

Positive Angle

An angle rotated in the counterclockwise direction.

Sine (Sin A)

Side opposite/hypotenuse (\frac{O}{H})

Cosine (Cos A)

Side adjacent/hypotenuse (\frac{A}{H})

Tangent (Tan A)

Side opposite/side adjacent (\frac{O}{A})

Cosecant (Csc A)

Hypotenuse/Side Opposite (\frac{H}{O})

Secant (Sec A)

Hypotenuse/Side Adjacent (\frac{H}{A})

Cotangent (Cot A)

Side Adjacent/Side Opposite (\frac{A}{O})

Arcsine

arcsin^-1(x)

Arccosine

arccos^-1(x)

Arctangent

arctan^-1(x)

Cotangent Identity

\frac{cosx}{sinx} = \frac{1}{tanx}

Tangent Identity

\frac{sinx}{cosx}

Arc Length Formula

s = r * theta (central angle in radians)