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.                                                                                                                                                                                                                                                                                                                                   
                                                                                                                                                                                                                                                                                                                                                                                     
  174 °

Accepted Answer

But the given angle in the center position and represents the rotations using an arrow state. The Quran of the angle also find a positive and negative where our angle is 152 degrees. Let's first plot this to plot this, we will start from angle zero and move counterclockwise until we get to 100 52 degrees angle zero. We know points in the positive direction. Let's go ahead and follow this counterclockwise until we get to about we will pass by the Y axis which is about degrees. And then we know 1 52 should be before we get to the X axis negative, which is 1 80. Let's say it's roughly right about here, this angles and pointing up into the left. Now, if we label our quadrants quadrant one 24, we know our angle then is in quadrant two, we can now find our code terminal angles to find the coast, terminal angles. We will take our data can add N multiplied by 360 degrees. For the positive. We will say N is equals to one giving us data plus 3 this gives us 1 52 plus 3 60 which is equals to 512 degrees. For our negative, we will say and it s equals to negative one. So we have data minus 3 60. You get 1 52 minus 360 degrees. You would then end up getting 208 degrees. But negative. Now we have both of our co terminal angles all in quadrant two. Ok. I hope to help you solve the problem. Thank you for watching. Goodbye.

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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. 174 °