Draw the angle θ=3 radians in standard position.
What quadrant does θ terminate in?
Cannot draw on these posts.
Can you just tell the quad? then i can draw on my own
well, π radians is the same as 180°
and 3 < π, so it looks like 3 radians would be in quadrant II
To determine the quadrant in which the angle θ terminates, we need to understand the concept of standard position for angles.
In standard position, the initial side of the angle is the positive x-axis, and the vertex of the angle is at the origin (0, 0) on the coordinate plane. The terminal side of the angle determines the quadrant in which the angle terminates.
To draw the angle θ = 3 radians in standard position, follow these steps:
1. Start by drawing the positive x-axis (horizontal line) in the coordinate plane.
2. Draw a ray (half-line) from the origin (0, 0) in the direction of the positive x-axis.
3. Now, measure an angle of 3 radians counterclockwise from the positive x-axis. To do this, rotate the ray around the origin by 3 radians in a counterclockwise direction.
4. The endpoint or terminal point of the angle determines the quadrant in which θ terminates.
In this case, since θ is a positive angle (3 radians counterclockwise), it terminates in the second quadrant. The terminal point lies in the upper-left region of the coordinate plane.