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| Who is considered the father of "Trigonometry" and what were the years of his life? | Hipparchus of Nicaea 190-120 B.C. - he complited the first "trigonometry tables" - he lived in Ancient Greece |
| What is the history behind the term "trigonometry?" | The term "trigonometry" emerged during the 16th century which has the Greek roots "Tri" which means three(3), "gonos" which means side, and "metros" that means measure. |
| What was the Ancient Sumerians number system based upon? | It was based upon the "sexagesimal system" which was based on a "60-based" counting system. |
| What was the primary purpose of trigonometry in ancient times? | The primary purpose was for use in Astronomy and engineering buildings. |
| What is "theta?" | "Theta" is a Greek symbol that is used in trigonomety to designate the angle of which calculations are being centered upon. |
| Why can one not use "degrees" of angles when Mathematical calcuations are being done on them? | They can not be used because when working in "trigonometric functions" they will not allow the domain and range to be measured in the same manner; therefore, radians are used instead. |
| Define: Radian | A central angle of a circle has a measure of "1 radian" if it intercepts an arc with the same lenght as a radius. |
| What is DMS stand for? | It stands for "degrees-minutes-seconds". |
| What is the "central angle" of a circle? | The "central angle" of a circle is located in the center of a given circle. |
| What is the relationship between the "central angle" of a circle and its intercepted arc? | The measure of the "central angle" of a circle is equal in measurement to its "intercepted arc>" |
| Convert an angle whose measure is 45.55 degrees into DMS: | The conversion is the following: 45 degrees 33 minutes. |
| Convert an angle whose measure is 50 degrees, 20 minutes and 45 seconds into degrees (round off to the nearest angle.. | It is 50.31 |
| How many degrees is a straight angle? | 180 degrees |
| What is the circumference of a circle? | The circumference of a circle is the measure around its edges. |
| What is the formula for obtaining the "circumgenrece of a circle?" | C = PiD or C=pi2r |
| How many degrees is one radian of a circle? | It is 180 degrees or Pi radians. |
| What do "Pi radians" amd 180 degrees have in common? | They both measure to be a straight line. |
| If a central angle of a circle is 45 degrees, then what is the measure of its intercepted arc? | Its intercepted arc is 45 degrees. |
| If the intercepted arc of a central angles is 120 degrees, then what is the measure of the central angle? | The central angle is 120 degrees. |
| How many radians are in one full circumference of a circle? | There are two(2) radians. |
| What is the formula for converting radians to degrees. | Multiply by 180 degrees/Pi radians |
| What is the formula for convertin degree to radians? | Multiplying by Pi radians/180 degrees |
