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Pre-Calculus Unit #4: Day 3.  Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common.

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Presentation on theme: "Pre-Calculus Unit #4: Day 3.  Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common."— Presentation transcript:

1 Pre-Calculus Unit #4: Day 3

2  Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side.  For example 30°, –330° and 390° are all coterminal. http://hotmath.com/hotmath_help/topics/coterminal-angles.html

3  Find a positive and a negative angle coterminal with a 55° angle. http://hotmath.com/hotmath_help/topics/coterminal-angles.html

4  Find a positive and a negative angle coterminal with a 55° angle. ◦ 55° – 360° = –305° http://hotmath.com/hotmath_help/topics/coterminal-angles.html

5  Find a positive and a negative angle coterminal with a 55° angle. ◦ 55° – 360° = –305° ◦ 55° + 360° = 415° http://hotmath.com/hotmath_help/topics/coterminal-angles.html

6  Complementary angles are two angles whose measures add up to 90 o. http://hotmath.com/hotmath_help/topics/complementary-angles.html

7   1 = 2x+1 and  2 =3x+4. If these angles are complements, then what is the value of x?

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12  Supplementary angles are two angles whose measures add up to 180 o. http://hotmath.com/hotmath_help/topics/supplementary-angles.html

13 Find the supplement of each of the following given angles: a.) 65° b.) 109° c.) 4z°

14 Find the supplement of each of the following given angles: a.) 65° b.) 109° c.) 4z°

15 Find the supplement of each of the following given angles: a.) 65° b.) 109° c.) 4z°

16 Find the supplement of each of the following given angles: a.) 65° b.) 109° c.) 4z°

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18 1. Determine the quadrant of the given angle. 2. Draw a right triangle to find the missing side of the triangle. (Pythagorean Thm.) 3. Set up the trig functions using the appropriate signs.

19  Given that and  is in the second quadrant, find the other 5 function values.

20  2 3

21  2 3

22  2 3  sin  =  cos  =  cot  =  sec  =  csc  =

23  Given that and  is in the second quadrant, find the other 5 function values.  2 3  sin  =  cos  =  cot  =  sec  =  csc  =

24  Given that and  is in the second quadrant, find the other 5 function values.  2 3  sin  =  cos  =  cot  =  sec  =  csc  =

25  Given that and  is in the second quadrant, find the other 5 function values.  2 3  sin  =  cos  =  cot  =  sec  =  csc  =

26  The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis.

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