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Use the function y = 200 tan x on the interval 0 < x < 141. Complete the ordered pair (xº, 0). Round your answer to the
nearest whole number.
a. 200
b. 0
C. 135
d. -162

Respuesta :

Using the tangent function, it is found that the ordered pair is (141º, -162º), hence option D is correct.

Function concepts:

  • For a function [tex]y = f(x)[/tex], each ordered pair has the following format: [tex](x, f(x))[/tex].
  • The tangent of an angle is given by the sine of this angle divided by the cosine of this angle, that is:

[tex]\tan{x} = \frac{\sin{x}}{\cos{x}}[/tex]

In this problem, the function is:

[tex]y = f(x) = 200\tan{x}[/tex]

We want the ordered pair (141, y), that is, f(141), hence, using a calculator:

[tex]f(141) = 200\tan{141^{\circ}} = -162[/tex]

Hence, the ordered pair is (141, -162), and option D is correct.

You can learn more about the tangent function at https://brainly.com/question/26144146

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