Mastering the Unit Circle with Hand Tricks

This video tutorial from Moomoomath teaches how to use your hands to understand the unit circle, focusing on the first quadrant. It explains the cosine and sine values for key angles (30, 45, 60, and 90 degrees) using a hands-on method. The tutorial demonstrates how to use fingers to represent angles and calculate the corresponding trigonometric values, providing a visual and tactile way to learn the unit circle. The video also introduces the concept of radians and prepares viewers for further exploration of the entire unit circle in subsequent videos.

What is the first coordinate in the unit circle's ordered pair?

• Secant

• Tangent

• Sine

• Cosine

At what degree is cosine 0?

• 0 degrees

• 90 degrees

• 45 degrees

• 60 degrees

Which angle is represented by the thumb?

• 90 degrees

• 30 degrees

• 45 degrees

• 0 degrees

Which finger represents the 45-degree angle?

• Pointer finger

• Middle finger

• Thumb

• Ring finger

How many square roots are represented on your hand for a 30-degree angle?

• 1

• 2

• 3

• 4

What is the sine value for a 30-degree angle?

• 1 over 2

• 0

• Square root of 2 over 2

• Square root of 3 over 2

What is the sine value for a 45-degree angle?

• Square root of 3 over 2

• 2 over 2

• 1 over 2

• Square root of 2 over 2

What is the cosine value for a 60-degree angle?

• 1 over 2

• Square root of 3 over 2

• Square root of 2 over 2

• 0

How many square roots do you show for the sine of 60 degrees?

• 3

• 4

• 2

• 1

What is the radian measure for 90 degrees?

• Pi/6

• Pi/3

• Pi/4

• Pi/2