Converting Angles: Degrees to Radians

This video tutorial demonstrates how to use a TI-84 graphing calculator to convert 27.38 degrees into degrees, minutes, and seconds (DMS) and then into radians expressed as a fraction of pi. The tutorial provides step-by-step instructions for each conversion process, ensuring that viewers understand how to perform these calculations using the calculator. The video concludes with a simplified fraction of pi for the angle in radians.

What is the primary objective of this video tutorial?

• To convert angles from degrees to radians and vice versa

• To explore advanced calculus functions on the TI-84

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

• To understand the history of the TI-84 calculator

Which menu option on the TI-84 calculator is used to convert degrees to DMS?

• Option 4: DMS

• Option 3: Graphing

• Option 2: Trigonometry

• Option 1: Basic Math

What is the DMS conversion of 27.38 degrees?

• 27 degrees 22 minutes 48 seconds

• 27 degrees 38 minutes 22 seconds

• 27 degrees 48 minutes 22 seconds

• 27 degrees 22 minutes 38 seconds

What is the formula to convert degrees to radians?

• Multiply by pi/360

• Multiply by 360/pi

• Multiply by pi/180

• Multiply by 180/pi

Why is 180 degrees placed in the denominator when converting to radians?

• To increase the angle value

• To convert radians to degrees

• To cancel out the degree units

• To simplify the fraction

What is the decimal result of dividing 27.38 by 180?

• 0.1521

• 0.1532

• 0.1508

• 0.1519

Which calculator function is used to convert a decimal to a fraction?

• Graph

• Trig

• Stat

• Math

What is the simplified fraction of pi for 27.38 degrees in radians?

• 1/369 pi

• 1369/10000 pi

• 1/3690 pi

• 1369/9000 pi

What is the final expression of 27.38 degrees in radians?

• 1369/10000 pi

• 1/369 pi

• 1/3690 pi

• 1369/9000 pi

What is the purpose of this video tutorial?

• To solve complex calculus problems

• To teach basic arithmetic operations

• To explore the history of calculators

• To demonstrate the use of a TI-84 calculator for angle conversion