Understanding Coterminal Angles

The video tutorial explains how to find coterminal angles between 0 and 2π radians. It covers two examples: one with -14π/5 radians and another with -125π/7 radians. The process involves adding or subtracting multiples of 2π to the given angle. The tutorial also demonstrates using Desmos to find coterminal angles for complex calculations.

What is the purpose of finding coterminal angles?

• To find angles that are negative

• To find angles that are exactly the same

• To find angles that differ by multiples of π

• To find angles that differ by multiples of 2π

How do you determine the coterminal angle for -14π/5?

• By dividing by 2π

• By adding or subtracting multiples of π

• By multiplying by 2π

• By adding or subtracting multiples of 2π

What is the result when k equals 1 for -14π/5?

• -6π/5

• 4π/5

• 6π/5

• -4π/5

What is the coterminal angle for -14π/5 when k equals 2?

• 4π/5

• 6π/5

• 8π/5

• 10π/5

What tool is suggested for finding the coterminal angle of -125π/7?

• Desmos.com

• A ruler

• A protractor

• A calculator

Tags

CCSS.HSG.GMD.A.1

What is the approximate value of 2π used in the slider tool?

• 1.57

• 2.68

• 3.14

• 6.28

What is the exact coterminal angle for -125π/7 when k equals 9?

• 3π/7

• 2π/7

• 4π/7

• π/7

What is the common denominator used in the calculation for -125π/7?

• 9

• 5

• 11

• 7

How is the exact coterminal angle verified?

• By using a compass

• By using a protractor

• By using a calculator

• By using a ruler

What is the decimal approximation of π/7 used for verification?

• 0.68

• 0.57

• 0.45

• 0.89