Converting Angles: Degrees to Radians

This video tutorial demonstrates how to use the TI-84 calculator to convert an angle given in degrees, minutes, and seconds into a decimal approximation and a mixed number. It also covers converting the angle into radians as an exact fraction of pi. The tutorial provides step-by-step instructions for entering the angle into the calculator, finding the decimal approximation, and converting the angle to an exact fraction and mixed number. Finally, it explains how to convert the angle to radians using the improper fraction and provides the exact measure in radians as a fraction of pi.

What is the primary goal of the video tutorial?

• To learn how to use the TI-84 calculator for basic arithmetic.

• To convert an angle from degrees, minutes, and seconds to a decimal and radians.

• To explore different types of angles.

• To understand the history of the TI-84 calculator.

Which button sequence is used to enter the degree symbol on the TI-84 calculator?

• 2nd, Math

• Alpha, Plus

• 2nd, Apps

• Shift, Angle

What is the decimal approximation of 84 degrees, 20 minutes, and 14 seconds?

• 84.1420 degrees

• 84.4012 degrees

• 84.2021 degrees

• 84.3372 degrees

How is the exact value of the angle first expressed?

• As a mixed number

• As an improper fraction

• As a percentage

• As a decimal

What is the whole number part of the mixed number for the angle?

• 84

• 607

• 1800

• 151807

What is the numerator of the fraction in the mixed number?

• 1800

• 151807

• 84

• 607

What is the first step in converting degrees to radians?

• Divide by pi

• Multiply by pi/180

• Multiply by 180

• Add 180

What is the denominator when expressing the angle in radians as a fraction of pi?

• 151807

• 607

• 180

• 324000

Why do the units of degrees cancel out when converting to radians?

• Because degrees are multiplied by radians

• Because degrees are added to radians

• Because degrees are divided by degrees

• Because radians are subtracted from degrees

What is the final expression of the angle in radians?

• 180/151807 pi

• 84.3372 pi

• 607/1800 pi

• 151807/324000 pi