Complementary angles
Two angles that add together to equal 90 degrees
Complementary angles are two angles that when added together produce a total of 90 degrees.
For example, if one angle measures 40 degrees, then its complementary angle would measure 50 degrees because 40 degrees plus 50 degrees equals 90 degrees.
Complementary angles are commonly found in geometric shapes such as right triangles. The two acute angles in a right triangle are complementary. This means that if one angle measures x, then the other angle will measure 90 – x.
Complementary angles also have a special relationship in trigonometry. The sine function of an angle and the cosine function of its complementary angle are equal. This means that sin(x) = cos(90 – x) and cos(x) = sin(90 – x).
Knowing the concept of complementary angles is important for various mathematical applications, including finding missing angles in geometric figures, solving trigonometric equations, and understanding geometry and physics principles.
More Answers:
Rhombus: Properties, Formula For Area And PerimeterMaster Geometry Basics: The Properties, Formulas, And Uses Of Rectangles
Mastering The Basics Of Parallelograms: Area, Perimeter, And Properties