Multiple Choice
Given a point on the terminal side of an angle in standard position, what is the measure of angle in degrees?
1. Measuring Angles
Angles in Standard Position
Multiple Choice
Given that angle is in standard position and its terminal side passes through the point on the unit circle, what is the measure of angle in degrees?
A
degrees
B
degrees
C
degrees
D
degrees
Verified step by step guidance1
Recall that an angle in standard position has its vertex at the origin and its initial side along the positive x-axis.
Since the terminal side of the angle passes through the point (0, 1) on the unit circle, identify the coordinates of this point as (x, y) = (0, 1).
On the unit circle, the coordinates (x, y) correspond to (cos \(\theta\), sin \(\theta\)), where \(\theta\) is the angle measure in radians or degrees.
Set up the equations: \(\cos\) \(\theta\) = 0 and \(\sin\) \(\theta\) = 1, and determine which angle \(\theta\) satisfies these conditions.
Convert the angle \(\theta\) from radians to degrees if necessary, and identify the angle measure from the given options.
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