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precalc unit 5
| Question | Answer |
|---|---|
| arc length formula | s = rθ R = radius S = #2pi(r) |
| finding coterminal angles: | + or - 2pi |
| reference angles: | closest angle for either side of the x-axis. always POSITIVE! |
| counterclockwise: | positive angle |
| clockwise: | negative angle |
| find ALL coterminal angles: | whatever value it is given + 2pi k WHERE K IS AN INTEGER |
| when you find angles, make sure you have... | theta symbol = ...... |
| pythag triples: | 3-4-5 5-12-13 7-24-25 8-15-17 9-40-41 |
| sin: | y/r |
| cos: | x/r |
| tan: | y/x |
| csc: | r/y |
| sec: | r/x |
| cot: | x/y |
| radius is always.... | positive!!!!! |
| a = | max - mid or mid - min or max-min/2 |
| b = | 2pi/b = period |
| c = | + cos = max --> min + sin = mid --> max - cos = min --> max - sin = mid --> min remember, everything in the parenthesis is opposite!!!! |
| d = | mid or amp + min |
| period = | time/# of rotations |
| even: | f(-x) = f(x) therefore, f(x) has even symmetry |
| odd: | f(-x) = -f(x) therefore, f(x) has odd symmetry |
| if a table is invertible... | if each y-value has ONLY 1 x-value! |
| Concave up = | Inc |
| Concave down = | Dec |
| Remember: | NEVER SAY “IT”!!!! |
| how to write inverse: | f^-1(x) = |
Created by:
acuda25