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.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          300 °

Accepted Answer

Put the given angle in the center position and represent the rotations using an arrow state. The quadrant of the angle also find a positive and a negative code terminal angle with the given angle where we have 240 degrees. Let's first plot the angle to plot this, we will start from zero degrees and move in the counterclockwise direction. Zero degrees is pointing in the positive X direction on the axis. Now we'll move counterclockwise until we get to 240 degrees. We pass the y axis positive which is 90 the X axis negative which is 1 80 2, 40 is roughly between 1 82 70 somewhere which we can estimate to be right here. That means this is in quad three with quadrant one quadrant two and quadrant four. Also being labeled. Now that we have our quadrant, we can find our co terminal angles to find code terminal angles. You will take our angle data then add N multiplied by 3 60. The end will determine whether we have a positive or a negative angle for positive. Let's first set in equals to one the it equals to data plus 3 60 which will be 40 plus 3 60 which is 600 degrees with the negative. We will say the minus 3 where N is equal to negative one. OK. There you know which is 2 40 minus 3 which gives us negative 120 degrees. We now have our code terminal angles 600 negative 1 all in question three. 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. 300 °

Key Concepts

Standard Position of an Angle

Coterminal Angles

Quadrants of the Coordinate Plane

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