Question

The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is 2.62.62, point, 6. Which is the principal value of \arctan\left(2.6\right)arctan(2.6)\arctan, left parenthesis, 2, point, 6, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A -111.0^\circ−111.0 ∘ minus, 111, point, 0, degrees (Choice B) B 69.0^\circ69.0 ∘ 69, point, 0, degrees (Choice C) C 249.0^\circ249.0 ∘ 249, point, 0, degrees (Choice D) D 429.0^\circ429.0 ∘

Answer 1

Using the arc tangent concept, the principal value that has an arc tangent of 2.6 is given by:

B. 69º.

What is the arc tangent of an angle?

The arc tangent of an angle can be understated according to the following idea:

$\arctan{x} = \theta$

Means that $\theta$ is the angle that has a tangent value of x.

The principal value for an inverse trigonometric function will always be the smallest positive angle with the measure.

In this problem, we want to find arctan(2.6), that is, the angle with a tangent measure of 2.6, which using a calculator is of 69º.

More can be learned about arc tangent at https://brainly.com/question/24043080

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