Exploring the Unit Circle in Trigonometry

What does a negative length in a coordinate indicate about its direction?

• It indicates an error in measurement.

• It suggests the coordinate is at the origin.

• It represents a positive movement in time.

• It indicates a movement to the left or downward depending on the axis.

How is the hypotenuse of a right triangle determined using the Pythagorean theorem?

• Multiplying the base and height and dividing by 2.

• Difference between the squares of the base and height.

• Sum of the squares of the other two sides.

• Sum of the base and height.

In a 30-60-90 triangle, what is the length of the side opposite the 30-degree angle?

• 2

• 1

• Square root of 3 over 2

• 1/2

What is the sine of an angle defined as in a unit circle?

• X-coordinate divided by the radius

• X-coordinate divided by the Y-coordinate

• Radius divided by the Y-coordinate

• Y-coordinate divided by the radius

Which quadrant is the cosine of an angle positive?

• Quadrant I only

• Quadrants I and IV

• Quadrants II and III

• Quadrant IV only

How is the cosecant of an angle defined in terms of sine?

• Twice the sine

• Same as the sine

• Square of the sine

• Reciprocal of the sine

What is the cosine of 150 degrees?

• Negative square root of 3 over 2

• 0

• Square root of 3 over 2

• 1/2

What is the tangent of 45 degrees in the unit circle?

• 1/2

• 1

• 0

• Undefined

If the sine of an angle is 0, which angle(s) could it be?

• 0 degrees or 180 degrees

• 90 degrees

• 45 degrees

• 30 degrees

What does the coordinate (-1, 0) indicate about the angle in the unit circle?

• It is at 90 degrees.

• It is at 0 degrees.

• It is at 180 degrees.

• It is at 270 degrees.