Determining the Angle Given the Trig Function Value

The video tutorial explains how to evaluate Theta using the unit circle, focusing on the tangent function. It covers the calculation of Theta when the tangent equals sqrt 3, considering constraints between 0 and 90 degrees. The final answer is determined as π/3 or 60 degrees. Additional notes and reminders are provided to reinforce the learning.

What is the relationship between tangent and the coordinates on the unit circle?

• Tangent is the product of the x and y coordinates.

• Tangent is the sum of the x and y coordinates.

• Tangent is the difference between the x and y coordinates.

• Tangent is the ratio of the y coordinate to the x coordinate.

Which angle in the first quadrant has a tangent value of sqrt 3?

• 60 degrees

• 45 degrees

• 30 degrees

• 90 degrees

What is the radian measure of an angle with a tangent of sqrt 3 in the first quadrant?

• π/2

• π/6

• π/4

• π/3

If the constraint is between 0 and 90 degrees, what is the only possible angle for Theta?

• π/2

• π

• π/4

• π/3

What is the degree equivalent of π/3?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees