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8 results for “angles”

Formulae (8)

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Relates sides to opposite angles in any triangle.

S = (n - 2)\times 180^\circ

Total of interior angles of an n-sided polygon.

\theta = \frac{(n-2)\times 180^\circ}{n}

Measure of each interior angle of a regular polygon.

S = (n-2)\times 180\degree

Sum of interior angles of an n-sided polygon.

\sin\theta = \cos(90\degree - \theta)

Sine and cosine of complementary angles are equal.

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Relates sides of any triangle to the sines of opposite angles.

\frac{a-b}{a+b} = \frac{\tan\tfrac{A-B}{2}}{\tan\tfrac{A+B}{2}}

Relates two sides and their opposite angles.

d = \sum_{i=1}^{n}|a_i - b_i|

Distance measured along axes at right angles (taxicab geometry).