Trigonometric Concepts Using Hand Trick

This video tutorial helps students memorize the 16 points on a unit circle using a hand trick. It begins with an introduction to the unit circle and its basic points, followed by an explanation of ordered pairs and trigonometric functions. The hand trick is introduced as a method to memorize angles and functions, with detailed steps on calculating cosine and sine using fingers. The video concludes with an explanation of tangent and cotangent using the hand trick.

What is the purpose of the unit circle in trigonometry?

• To find the circumference of a circle

• To calculate the area of a circle

• To measure angles in degrees

• To help memorize trigonometric values

Which of the following is a key point on the unit circle?

• (1, 0)

• (0, 2)

• (2, 0)

• (0, 1)

What is the ordered pair at Pi on the unit circle?

• (1, 0)

• (-1, 0)

• (0, 1)

• (0, -1)

In trigonometry, what do the ordered pairs represent?

• Sine and cosine

• Sine and tangent

• Cosine and sine

• Tangent and cotangent

What does the thumb represent in the hand trick for the unit circle?

• 30 degrees

• 90 degrees

• 0 degrees

• 60 degrees

Which finger represents 45 degrees in the hand trick?

• Thumb

• Pointer finger

• Ring finger

• Middle finger

How many fingers are used to represent cosine in the hand trick for Pi/6?

• Four

• Three

• Two

• One

What is the cosine value for Pi/4 using the hand trick?

• √3/2

• 1/2

• 0

• √2/2

What is the sine value for Pi/6 using the hand trick?

• √3/2

• 1/2

• 0

• √2/2

Which angle is represented by the ring finger in the hand trick?

• 90 degrees

• 60 degrees

• 30 degrees

• 0 degrees