complementary angles

Two angles are called complementary angles of each other, if their sum is the right angle ${\displaystyle \frac{\pi }{2}}$, i.e. ${90}^{\circ }$.

For example, the acute angles of a right triangle are complement angles of each other, since the angle sum in any triangle is ${180}^{\circ }$.

The sine of an angle is equal to the cosine of the complement angle, and vice versa.

The tangent of an angle equals to the cotangent of the complement angle, and vice versa (provided that no one of the angles is a multiple of the straight angle).

Title	complementary angles
Canonical name	ComplementaryAngles
Date of creation	2013-03-22 17:18:07
Last modified on	2013-03-22 17:18:07
Owner	pahio (2872)
Last modified by	pahio (2872)
Numerical id	7
Author	pahio (2872)
Entry type	Definition
Classification	msc 51G05
Classification	msc 51F20
Synonym	complement angles
Synonym	complementary
Related topic	ExplementaryAngle
Related topic	SupplementaryAngles
Related topic	GoniometricFormulae
Related topic	ConvexAngle
Related topic	Explementary