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 terminal side.  For example 30°, –330° and 390° are all coterminal.

 Find a positive and a negative angle coterminal with a 55° angle.

 Find a positive and a negative angle coterminal with a 55° angle. ◦ 55° – 360° = –305°

 Find a positive and a negative angle coterminal with a 55° angle. ◦ 55° – 360° = –305° ◦ 55° + 360° = 415°

 Complementary angles are two angles whose measures add up to 90 o.

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

 Supplementary angles are two angles whose measures add up to 180 o.

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

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

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

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

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.

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

 2 3

 2 3

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

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

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

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

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