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Talking about Trigonometry
|Why is this course important? Let us look at the history of trig.|
|Trigonometric tables were created over two thousand years ago for computations in astronomy.||The kind of trigonometry needed to understand positions on a sphere is called spherical trigonometry.|
|The stars were thought to be fixed on a crystal sphere of great size, and that model was perfect for practical purposes.||Spherical trigonometry is rarely taught now since its job has been taken over by linear algebra|
|Only the planets (Mercury, Venus, Mars, Jupiter, Saturn, the Moon, and the Sun) moved on the sphere.||Nonetheless, one application of trigonometry is astronomy.|
Table: Values at special angles
|Note: Questions in red are OPTIONAL||A||B||C||D||E|
Question #1How would this table be altered if the figure was flipped so that Q was on right of the top of the circle?
|The length of the hypotenuse would change.||The altitude QR would change.||The center O of the circle would move.||The sign of the cosine would change.||All of the above.|
Question #2In the table the sin never has a negative sign. Why not?
|Because sin(x) is always => 0.||Because cos(x) is used when values <0 are needed.||Because the square root can't be used for negative numbers.||Because the headers of the table should be in alphabetical order.||None of the above.|
Question #3X labels the included angle in the figure and the table. This angle is measured in: