Final answer:
The reference angle for tan(x) = 1 is 45°, as it is the angle in the first quadrant where the sine and cosine values are equal and positive, making their ratio (tangent) equal to 1. So, the correct asnwer is a) 45°.
Step-by-step explanation:
The reference angle for the equation tan(x) = 1 is the angle whose tangent is positive 1 and is found in the first quadrant where both sine and cosine are positive, as tangent is the ratio of sine to cosine.
The angle that meets this criterion is 45°, which is the angle whose sine and cosine values are equal, hence their ratio (tangent) will be 1.
Therefore, the reference angle for tan(x) = 1 is 45°.
Thus, the correct asnwer is a) 45°.
The reference angle is the acute angle formed between the terminal side of an angle in standard position and the x-axis.