Finding the Inverse Using Tangent

The video tutorial covers the concept of tangent in trigonometry, explaining it as the ratio of sine to cosine (y/X) and its representation on the unit circle. It introduces three key coordinate points on the unit circle and demonstrates how to calculate tangent values using these points. The tutorial also addresses the calculation of negative tangent values and the limitations of the inverse tangent function, which is only defined between -π/2 and π/2. Interruptions for announcements are noted but do not detract from the main content.

What is the relationship between sine, cosine, and tangent on the unit circle?

• Tangent is the sum of sine and cosine.

• Tangent is the product of sine and cosine.

• Tangent is the difference between sine and cosine.

• Tangent is the ratio of sine to cosine.

Which of the following is a unique coordinate point on the unit circle?

• (0, √2/2)

• (1/2, 1/2)

• (√3/2, 1/2)

• (1, 0)

How do you calculate the tangent value from the coordinates (√3/2, 1/2)?

• Multiply the coordinates.

• Add the coordinates.

• Divide the x-coordinate by the y-coordinate.

• Divide the y-coordinate by the x-coordinate.

What is the result of dividing √3/2 by 1/2?

• √3/3

• 2

• √3

• 1

What is the range of the inverse tangent function?

• 0 to 2π

• 0 to π

• -π/2 to π/2

• -π to π