Question

For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?

For the point (9, 12), find csc θ and sec θ.

A. csc θ = 5/4, sec θ = 5/3
B. csc θ = 5/4, sec θ = 4/5
C. csc θ = 3/5, sec θ = 4/5
D. csc θ = 3/4, sec θ = 3/5

Answer 1

The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a standard-position angle determined by the point (x, y).

The point is (9, 12)

From the Pythagoras theorem, we can find the hypotenuse(h):

h  = √(9²+12²)

h = 15

cscθ = hypotenuse/opposite = 15/12 = 5/4

secθ = hypotenuse/adjacent = 15/9 = 5/3

Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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