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joseaaronlara

Answer:

The answer to your question is: 45° and 225°

Step-by-step explanation:

Getting tan⁻¹ 1 = 45°

Then, the angle we are looking for is 45°, let's check the for quadrangles.

First quadrangle = tan 45 = 1

Second quadrangle = 180° - 45° = 135°      tan 135 = -1

Third quadrangle = 180 + 45 = 225°           tan 225 = 1

Forth quadrangle = 360 - 45 = 315°            tan 315° = -1

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Using equivalent angles, the values of theta are: 45º and 225º.

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  • First quadrant: angles between 0 and 90º(0 and 0.5π).
  • Second quadrant: angles between 90º and 180º(0.5π and π).
  • Third quadrant: angles between 180º and 270º(π and 1.5π).
  • Fourth quadrant: angles between 270º and 360º(1.5π and 2π).
  • Each angle will have equivalents in other quadrants.

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  • Tangent is sine divided by cosine.
  • It is positive on the first and on the third quadrant.
  • In the first quadrant, it is 1 at 45º, as [tex]\sin{45} = \cos{45}[/tex].
  • The equivalent to 45 degrees in the third quadrant is given subtracting 270º from the angle, thus 270º - 45º = 225º.

Thus, the solutions are 45º and 225º.

A similar problem is given at https://brainly.com/question/24551149

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