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14 results for “reciprocal”

Formulae (14)

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

Divide by multiplying by the reciprocal (flip and multiply).

\frac{1}{x}

The multiplicative inverse of a number.

a^{-n} = \frac{1}{a^n}

A negative exponent means reciprocal.

HM = \frac{n}{\sum 1/x_i}

Reciprocal of the average of reciprocals.

a^{-n} = \frac{1}{a^n}

A negative exponent gives the reciprocal.

\sec\theta = \tfrac{1}{\cos\theta}, \ \csc\theta = \tfrac{1}{\sin\theta}

Secant and cosecant as reciprocals.

\sec\theta = \frac{1}{\cos\theta}

Reciprocal of cosine.

\csc\theta = \frac{1}{\sin\theta}

Reciprocal of sine.

\sec\theta = \frac{1}{\cos\theta}

Reciprocal of cosine.

\cot\theta = \frac{1}{\tan\theta} = \frac{\cos\theta}{\sin\theta}

Reciprocal of tangent.

\int \frac{1}{x}\,dx = \ln|x| + C

Antiderivative of the reciprocal function.

\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots

Reciprocals of parallel resistances add.

\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \cdots

Reciprocals of series capacitances add.

T = \dfrac{1}{f}

A repeating event's period is the reciprocal of its frequency.