The Easiest Way to Memorize the Trigonometric Unit Circle

The video tutorial explains the unit circle, a fundamental concept in trigonometry. It covers the definition of the unit circle, the significance of sine and cosine, and how to determine their values for key angles. The tutorial provides techniques for memorizing these values and extends the understanding to all quadrants. Practical applications are demonstrated, showing how to use the unit circle to solve trigonometric problems.

What is the radius of the unit circle?

• 0

• 1

• pi

• 2

For the angle pi/6, what are the sine and cosine values?

• Sine: 0, Cosine: 1

• Sine: root 2/2, Cosine: root 2/2

• Sine: root 3/2, Cosine: 1/2

• Sine: 1/2, Cosine: root 3/2

Which of the following is a correct pattern for sine values in the first quadrant?

• root 1/2, root 0/2, root 3/2, root 2/2, root 4/2

• root 2/2, root 3/2, root 4/2, root 0/2, root 1/2

• root 4/2, root 3/2, root 2/2, root 1/2, root 0/2

• root 0/2, root 1/2, root 2/2, root 3/2, root 4/2

In which quadrant do both sine and cosine values become negative?

• Fourth Quadrant

• Third Quadrant

• Second Quadrant

• First Quadrant

How do you calculate the tangent of an angle using the unit circle?

• Cosine divided by Sine

• Cosine minus Sine

• Sine divided by Cosine

• Sine multiplied by Cosine

What is the cosecant of an angle if the sine is negative root 2/2?

• Negative 2

• 2

• Root 2

• Negative root 2

If an angle is 14 pi/3, what is the equivalent angle within the first circle rotation?

• pi

• 2 pi/3

• pi/3

• 4 pi/3