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3 years ago

To which quadrants is tan^-1 x restricted?

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

The quadrants is tan⁻¹x restricted is A. Quadrants I and IV

To answer the question, we need to know what tan⁻¹x is.

tan⁻¹x is the inverse trigonometric function of tanx, which is the value of the angle for tanx.

<h3>Quadrant in which tan⁻¹x is restricted</h3>

To find the quadrants in which tan⁻¹x is restricted, we know that tanx lies in the range

-∞ ≤ tanx ≤ +∞ for -90° ≤ x ≤ 90°.

Since the inverse function of tanx is x.
tan⁻¹x lies between -90° and 90°. That is -90° ≤ tan⁻¹x ≤ 90°.
Since 90° lies in first quadrant and -90° lies in the fourth quadrant

tan⁻¹x lies between quadrant I and IV

So, the quadrants is tan⁻¹x restricted is A. Quadrants I and IV

Learn more about tan⁻¹x here:

brainly.com/question/20334292

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brainly.com/question/17335144

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