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Annotations 1

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Annotations 1 of Developing Expert Voices

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Annotations 1

  1. 1. Annotations 1 The Clock..
  2. 2. Slide 1 <ul><li>This equation represents the hour hand of the clock </li></ul><ul><li>This equation is the Sine Sum Identity </li></ul><ul><li>We substitute the values into the Sine Sum Identity </li></ul><ul><li>Since and on the unit circle, we substitute them in, then we simplify to find the values of </li></ul><ul><li>Since the given interval is the only possible solution is </li></ul>
  3. 3. Slide 2 <ul><li>Here we set up an Equation based on Proportions by making the position of the hour hand: equal to the hour of the time: We place X over 12 because there are 12 hours in the after noon, from 12:00 p.m. to 12:00 a.m. stated in the question </li></ul><ul><li>Next we cross multiply </li></ul><ul><li>Next, we simplify to find the hour of the time </li></ul>
  4. 4. Slide 3 <ul><li>This equation represents the minute hand of the clock </li></ul><ul><li>This equation is the Cosine Sum Identity </li></ul><ul><li>We substitute the values into the Cosine Sum Identity </li></ul><ul><li>Since and on the unit circle, we substitute them in, then we simplify to find the values of </li></ul><ul><li>Since the given interval is the only possible solution is </li></ul>
  5. 5. Slide 4 <ul><li>Here we set up an Equation based on Proportions by making the position of the minute hand: equal to the minutes of the time: We place X over 60 because there are 60 minutes in one hour </li></ul><ul><li>Next we cross multiply </li></ul><ul><li>Next we simplify to find the minutes of the time </li></ul>

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