Exact Value Video Quiz

What is the primary goal of the video?

• To find the exact value of sine for one angle

• To explore the history of trigonometry

• To determine the exact values for sine at 10, 50, and 70 degrees

• To learn about the cosine function

What is the first step in finding the exact value of sine for 10 degrees?

• Graphing the sine function

• Using the quadratic formula

• Applying the Pythagorean identity

• Setting x equal to 10 degrees

What mathematical concept is used to attempt factoring the polynomial?

• Quadratic Formula

• Binomial Theorem

• Rational Root Theorem

• Pythagorean Theorem

Why are the roots considered irrational in the video?

• Because they are whole numbers

• Because the rational root theorem failed

• Because they are negative

• Because they are complex numbers

What is the significance of Cardano's cubic formula in the video?

• It helps in solving quadratic equations

• It is used to find the roots of the cubic polynomial

• It is a method to calculate sine values directly

• It is a historical reference with no practical use

How are complex numbers represented in the video?

• As fractions

• Using a number line

• As real numbers only

• In the complex plane with real and imaginary axes

What is the role of the imaginary parts in the complex numbers discussed?

• They are ignored in calculations

• They are used to find the sine of angles

• They add up to form a complex number

• They cancel out to leave a real number

What is the final product of multiplying the sine values?

• 1/8

• 1/16

• 1/2

• 1/4

What is the significance of the sum of cubes in the video?

• It helps in multiplying the sine values

• It is a method to find the sine of 90 degrees

• It is used to simplify the polynomial

• It is a historical reference

What is the final conclusion of the video?

• The sine values are all rational

• The product of the sine values is 1/8

• The sine values cannot be determined

• The sine values are all negative