Find all values of theta in the interval [0° 360°) that have the given function value.

tan theta = 1

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