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An angle in a quadrant refers to an angle formed by a ray that originates from the origin of a coordinate plane and lies within one of the four quadrants. Each quadrant is defined by the x-axis and y-axis, and angles in a quadrant are measured in a counterclockwise direction from the positive x-axis. The measure of an angle in a quadrant typically ranges from 0 degrees to 90 degrees.
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What is the reference angle for -140 degrees?
in order to find the reference angle, an angle less than or equal to 90 degrees formed by the x-axis and the terminal side of an angle, one needs to first find what quadrant on the coordinate plane the angle belongs to. The negative (-) sign in -140 refers to the direction 360 degree turn begins at (and therefore the quadrant it begins at). Instead of taking the regular backwards "C", counterclockwise direction, the turn begins clockwise. To convert it, simply add 360 degrees, to get 220 degrees, an angle in the third quadrant. These are the guidelines to follow when finding reference angles: If angle, A, is in first quadrant then the reference angle will be itself as it is already 90 degrees or under. If angle, A, is in second quadrant then the reference angle will be 180 - A . If angle, A, is in third quadrant then the reference angle will be A - 180 . If angle, A, is in fourth quadrant then the reference angle will be 360 - A " These subtractions are all in reference to the nearest angle of a quadrant and are in degrees. Being in the third quadrant, take the angle, A, and subtract 180 from it to get: 220 - 180 = 40 Thus, the reference angle for -140 degrees is 40 degrees. Follow the same directions for other angles, first determining whether the angle needs to be converted into a positive value (counterclockwise), then locate the quadrant and use the rules above for the specific angle(s) being looked at and asked for.
Which quadrant of the circle would contain the angle 45 degrees?
Any angle (in standard position) between zero and 90 degrees is in the first quadrant.
What do you call a quarter of a circle?
A quarter of a circle, formed by two radii forming a right angle at the centre, is called a quadrant.
What shapes have square corners or right angles?
Quadrant, Right angle triangle, cube, cuboid, rectangle, square and others
Why is cosine negative in the third quadrant?
On a Unit Circle, the cosine is the x coordinate of the point on the circle represented by an angle. Angles greater than 90° (pi/2 radians) and less than 270° (3*pi/2 radians) are to the left of the y-axis, so x is negative. Quadrant I is the upper right quadrant (x positive, y positive) 0° < ɵ < 90° Quadrant II is the upper left quadrant (x negative, y positive) 90° < ɵ < 180° Quadrant III is the lower left quadrant (x negative, y negative) 180° < ɵ < 270° Quadrant IV is the lower right quadrant (x positive, y negative) 270° < ɵ < 360°
