Trigonometric Functions and Their Values

The video tutorial introduces trigonometric functions on the coordinate plane, explaining how to use x, y, and r values instead of opposite, adjacent, and hypotenuse. It provides examples using points (4, 3), (-1, -2), and (-5, 0) to demonstrate how to calculate cosine, sine, tangent, secant, and cotangent. The tutorial emphasizes understanding the relationship between these values and traditional trigonometric concepts.

What are the variables used in place of opposite, adjacent, and hypotenuse in trigonometric functions on the coordinate plane?

• a, b, c

• x, y, z

• x, y, r

• p, q, r

In the example with the point (4, 3), what is the value of r?

• 3

• 4

• 5

• 6

For the point (4, 3), what is the cosine of theta?

• 3/5

• 4/5

• 5/4

• 5/3

In the example with the point (-1, -2), what is the value of r?

• √5

• √6

• √4

• √3

For the point (-1, -2), what is the value of tangent theta?

• -1/2

• -2

• 2

• 1/2

In the example with the point (-5, 0), what is the value of r?

• 5

• 10

• -5

• 0

For the point (-5, 0), what is the value of sine theta?

• -1

• 1

• Undefined

• 0

What is the value of cosine theta for the point (-5, 0)?

• -1

• 0

• Undefined

• 1

What happens to a trigonometric function when division by zero occurs?

• It becomes zero

• It becomes one

• It becomes undefined

• It becomes infinite

In the context of trigonometric functions, what does it mean when a function is undefined?

• The function equals zero

• The function equals one

• The function equals infinity

• The function cannot be calculated