If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec?

B

Step-by-step explanation:

took the test

Value of

Step-by-step explanation:

Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;

To find the value of .

By definition of secants;

Now, first find the cosine of angle

As the point (12 , -9) lies in the IV quadrant , where

Consider a right angle triangle;

here, Adjacent side = 12 units and Opposite side = -9 units

Using Pythagoras theorem;

or

Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.

then;

and

therefore, the value of is,

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- : )