Pre-Calculus Prep: Converting 5pi/4 Radians to Degrees

In pre-calculus, one important skill is the ability to convert angles measured in radians to degrees. Radians and degrees are two common units used to measure angles, and being able to convert between them is essential for solving trigonometric problems.

To convert an angle from radians to degrees, you can use the following formula:

Angle in degrees = Angle in radians × (180/π)

Here's how you can apply this formula:

1. Start with the angle measure in radians that you want to convert.

2. Multiply the angle in radians by the conversion factor (180/π). The value of π (pi) is approximately 3.14159.

3. The result you obtain will be the equivalent angle measure in degrees.

Let's go through an example:

Example: Convert π/4 radians to degrees.

Angle in radians = π/4

Angle in degrees = (π/4) × (180/π)
= 180/4
= 45 degrees

So, π/4 radians is equal to 45 degrees.

It's important to note that when working with angles in trigonometry, it's common to express them in radians. However, degrees are still widely used in many applications, so being able to convert between the two units is crucial.

Understanding how to convert angles from radians to degrees will help you when working with trigonometric functions, solving equations involving angles, and analyzing various geometrical and physical phenomena.
These videos are designed to review and reteach Precalculus and Collegeboard Pre-CALC AP content. My videos cover functions, polynomials, exponential and logarithmic expressions, trigonometry, parametric equations, polar coordinates, vectors, matrices and systems, conic sections, discrete mathematics, sequences and series; and an introduction to calculus.

Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa
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