If tan(θ) = 1, what is one possible value for θ in degrees?

When the tangent of an angle, tan(θ), equals 1, it indicates that the sine and cosine of the angle are equal. This relationship can be derived from the definition of the tangent function, which is the ratio of the sine to the cosine:

[ \tan(θ) = \frac{\sin(θ)}{\cos(θ)} ]

For tan(θ) to equal 1, the sine and cosine must fulfill the condition:

[ \sin(θ) = \cos(θ) ]

The angle where sine and cosine are equal occurs at 45 degrees, where both sine and cosine yield the value of ( \frac{\sqrt{2}}{2} ). Thus, 45 degrees (or ( \frac{\pi}{4} ) radians) is the angle that satisfies this equation in standard position.

In conclusion, one possible value for θ when tan(θ) = 1 is indeed 45 degrees. This is consistent with the unit circle and the periodic nature of the tangent function, which also suggests that there are additional solutions, but 45 degrees remains the primary consideration in this context.