Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ​​ 3600°

Key Concepts

Degree to Radian Conversion

To convert degrees to radians, use the conversion factor π radians = 180 degrees. This means that to convert a degree measure to radians, you multiply the degree value by π/180. For example, 360 degrees is equivalent to 2π radians, as 360 × (π/180) = 2π.

Understanding π

The symbol π (pi) represents a mathematical constant approximately equal to 3.14159. In trigonometry, π is crucial for expressing angles in radians, as it relates the circumference of a circle to its diameter. When converting angles, leaving answers in terms of π provides a precise representation of the angle without decimal approximation.

Multiples of π

When expressing angles in radians, it is common to leave answers as multiples of π. This means that instead of providing a decimal value, the angle is expressed as a product of a rational number and π. For instance, an angle of 3600° can be simplified to a multiple of π, which helps in maintaining exactness in trigonometric calculations.