If an angle in standard position has its terminal side passing through the point $(0,1)$ on the unit circle, what is the measure of the angle in degrees?

• A. $90°$
• B. $24°$
• C. $48°$
• D. $66°$

Answer: (A)

Verified step by step guidance

1. Recognize that the point (0, 1) lies on the unit circle, which means its coordinates satisfy the equation \(x^2 + y^2 = 1\).
2. Recall that for an angle \(\theta\) in standard position, the coordinates of the point on the unit circle are given by \((\cos(\theta), \sin(\theta))\).
3. Since the point is (0, 1), set \(\cos(\theta) = 0\) and \(\sin(\theta) = 1\).
4. Identify the angle \(\theta\) whose cosine is 0 and sine is 1. This corresponds to the angle where the terminal side points straight up on the unit circle.
5. Convert this angle from radians to degrees if necessary, knowing that this angle is \$90^\circ$.