Trigonometry Identities

conservapedia

From Conservapedia

Contents

1 Pythagorean identities
2 Law of sines
3 Law of cosines
4 Sum and difference identities
5 Double-angle identities
6 Half-angle identities
7 Law of tangents

Pythagorean identities[edit]

\text{[math]}

\text{[math]}

\text{[math]}

Law of sines[edit]

The law of sines for an arbitrary triangle states:

\text{[math]}

or equivalently:

\text{[math]}

Law of cosines[edit]

The law of cosines (also known as the cosine formula) is an extension of the Pythagorean theorem to arbitrary triangles:

\text{[math]}

or equivalently:

\text{[math]}

Sum and difference identities[edit]

\text{[math]}

\text{[math]}

\text{[math]}

\text{[math]}

\text{[math]}

\text{[math]}

Double-angle identities[edit]

\text{[math]}

\text{[math]}

\text{[math]}

Half-angle identities[edit]

Note that $\text{[math]}$ are correct, it means it may be either one, depending on the value of A/2.

\text{[math]}

\text{[math]}

\text{[math]}

Law of tangents[edit]

The law of tangents:

\text{[math]}

Categories: [Trigonometry]

↧ Download as ZWI file | Last modified: 03/10/2023 11:50:24 | 41 views
☰ Source: https://www.conservapedia.com/Trigonometry_identities | License: CC BY-SA 3.0

ZWI signed:

Encycloreader by the Knowledge Standards Foundation (KSF) ✓[what is this?]