Concept Check Sketch each angle in standard position. Draw an arr...

Question

Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          90 °

Accepted Answer

Plot the given angle in the standard position and represent the rotations using an arrow state, the quadrant of the angle and also find a positive and a negative co terminal angle with the given angle. Our angle is 270 degrees and we have a plane here to put our angle on now because it's 2 70. This is a positive number. We can go ahead and start from zero degrees and move counterclockwise. Zero degrees is pointing directly to the right. So from there, we will draw an arrow until we get to 270 degrees, which is roughly here pointing directly downwards. So we can make a line from the origin pointing down or 270 degrees. Now, this is on the y axis which means this is not an quadrant. Now, we can find our code terminal angles for co thermal angles, we will add 3 60 or subtract 60 to determine our positive and negative angle. In other words, we will say our angle theta plus N multiplied by 60. For positive, we will let N equals one and get 2 70 plus 60. This gives us 630 degrees for negative, we will say N equals negative one and the 2 70 minus 3 which is negative 90 degrees as we now have our code terminal angles and our angle plotted on the plane. OK? I hope to help you solve the problem. Thank you for watching. Goodbye.

Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable. 90 °

Key Concepts

Standard Position of an Angle

Coterminal Angles

Quadrants of the Coordinate Plane

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