If an angle $\mathrm{mop}$ is in standard position and its terminal side passes through the point $(0,1)$ on the unit circle, what is the measure of $\mathrm{mop}$ in degrees?

• A. $90°$
• B. $58°$
• C. $29°$
• D. $122°$

Answer: (A)

Verified step by step guidance

1. Recall that an angle in standard position has its vertex at the origin and its initial side along the positive x-axis, with the terminal side determined by the angle's measure.
2. Since the terminal side passes through the point (0, 1) on the unit circle, note that this point corresponds to the coordinates where the x-value is 0 and the y-value is 1.
3. On the unit circle, the coordinates (x, y) correspond to (cos(\(\theta\)), sin(\(\theta\))) for an angle \(\theta\) in standard position.
4. Set up the equations: cos(\(\theta\)) = 0 and sin(\(\theta\)) = 1, and determine which angle \(\theta\) satisfies these conditions.
5. Identify the angle \(\theta\) in degrees that corresponds to these values on the unit circle, which will be the measure of the angle mop.