Find the Measure of Theta when Given the Value of Tangent

The video tutorial explains how to solve a problem involving points on the unit circle, focusing on the first quadrant. It discusses the relationship between the square root of 3 and unit circle points, and how to determine angles using tangent ratios. The tutorial simplifies expressions to find the correct angle, concluding that the angle with a tangent of the square root of 3 is π/3 or 60 degrees.

What is the significance of the problem being constrained to the first quadrant?

• It allows for negative angle values.

• It limits the possible angles to positive values.

• It means the problem is unsolvable.

• It requires using only negative ratios.

Which of the following is a point on the unit circle related to the square root of 3?

• 3/2

• 1/2

• Square root of 3

• Square root of 2

What is the tangent of π/4?

• Square root of 2

• 1/2

• 1

• Square root of 3

Which angle results in a tangent value of the square root of 3?

• π/2

• π/3

• π/4

• π/6

What is the sine value when the angle is π/3?

• Square root of 2/2

• Square root of 3/2

• 1/2

• 1