Introduction to Trigonometric Functions Quiz

What is the definition of an angle in standard position?

• An angle with its vertex at the origin and one ray on the negative y-axis

• An angle with its vertex at the origin and one ray on the positive y-axis

• An angle with its vertex at the origin and one ray on the negative x-axis

• An angle with its vertex at the origin and one ray on the positive x-axis

What is the terminal ray of an angle in standard position?

• The ray on the negative y-axis

• The ray on the positive y-axis

• The second ray of the angle

• The initial ray of the angle

How is the sine of an angle defined in terms of a point on a circle?

• The ratio of the vertical displacement to the radius

• The ratio of the horizontal displacement to the vertical displacement

• The ratio of the horizontal displacement to the radius

• The ratio of the vertical displacement to the horizontal displacement

How is the tangent of an angle defined in terms of a point on a circle?

• The ratio of the vertical displacement to the horizontal displacement

• The ratio of the horizontal displacement to the vertical displacement

• The ratio of the horizontal displacement to the radius

• The ratio of the vertical displacement to the radius

If a point P on a circle has coordinates (3, 0), what is the cosine of the angle?

• 1

• 0

• Undefined

• 3

If the radius of a circle is 5 and the y-coordinate of point P is -4, what is the sine of the angle?

• 5/4

• 4/5

• -5/4

• -4/5

What is the sine of an angle if the point P on the circle is reflected across the x-axis?

• Undefined

• Zero

• The negative of the original sine

• The same as the original sine

What happens to the cosine of an angle when point P is reflected across the y-axis?

• It becomes undefined

• It becomes zero

• It remains the same

• It becomes the negative of the original cosine

In the second quadrant, if the line is y = -3x, what is the tangent of the angle?

• -3

• 3

• Undefined

• 0

In the second quadrant, if x is negative, what is the sign of the cosine of the angle?

• Positive

• Undefined

• Negative

• Zero