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To which quadrants is tan^-1 x restricted?

A. Quadrants I and IV

B. Quadrants III and IV

C. Quadrants II and III

Sagot :

Oladayoademosuidn

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

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

What is tan⁻¹x?

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

Quadrant in which tan⁻¹x is restricted

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:

https://brainly.com/question/20334292

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