An angle in standard position has its initial side along the positive $x$-axis and its terminal side passes through the point $(0,1)$ on the unit circle. What is the measurement of this angle in degrees?

• A. $180$ degrees
• B. $0$ degrees
• C. $90$ degrees
• D. $270$ degrees

Answer: (C)

Verified step by step guidance

1. Identify that the angle is in standard position, meaning its initial side lies along the positive x-axis.
2. Recognize that the terminal side of the angle passes through the point (0, 1) on the unit circle.
3. Recall that points on the unit circle correspond to angles where the coordinates are (cos \theta, sin \theta).
4. Since the point is (0, 1), set cos \theta = 0 and sin \theta = 1, and determine which angle \theta satisfies these conditions.
5. Use the unit circle knowledge to conclude that the angle with cos \theta = 0 and sin \theta = 1 is \theta = 90^{\circ}.