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Java Games: Flashcards, matching, concentration, and word search. |
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Reference angles
Trig functions with reference angles.
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| A | B |
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| sin(225) | -sin(45) |
| cos(225) | cos(45) |
| tan(225) | -tan(45) |
| cos(-780) | cos(60) |
| sin(-780) | -sin(60) |
| tan(-780) | -tan(780) |
| sin(210) | -sin(30) |
| cos(210) | -cos(30) |
| tan(210) | tan(30) |
| tan(270) | Undefined |
| tan(180) | 0 |
| sin(90) | 1 |
| cos(180) | -1 |
| quadrantal angle | angle whose terminal sides lie on an axis |
| sinθ | y/r |
| cscθ | r/y |
| cosθ | x/r |
| secθ | r/x |
| tanθ | y/x |
| cotθ | x/y |
| initial side | ray on the positive x axis |
| terminal side | ray at the end of rotation |
| positive rotation | counterclockwise |
| negative rotation | clockwise |
| angle of depression | sight below the horizon |
| angle of elevation | sight above the horizon |
| sinФ | cos(90-Ф) |
| cosФ | sin(90-Ф) |
| tanФ | cot(90-Ф) |
| secФ | csc(90-Ф) |
| cscФ | sec(90-Ф) |
| complementary angles | sum is 90 |
| supplementary angles | sum is 180 |
| sinβ | 1/cscβ |
| cosβ | 1/secβ |
| tanβ | 1/cotβ |
| secβ | 1/cosβ |
| cscβ | 1/sinβ |
| cotβ | 1/tanβ |
| reference angle | acute angle formed by the terminal side and the x axis |
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Turner High School |
| Kansas City, KS |
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