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--- urp:trig [2021-10-21]
nerf_herder
+++ urp:trig [2021-10-21] (current)
nerf_herder
@@ Line 2: / Line 2: @@
 transformations of sine or cosine function:
- y = a * sin(k(x - c)) + d
+ y = a * sin(b(x - c)) + d
 {{:urp:sinewave.jpg?418|Sine Wave Transformations}}
-(Sine wave & graph courtesy of www.Desmos.com) a = amplitude, c = phase shift, d = vertical shift, 2π/k = period
+(Graphics from www.Desmos.com, labeling was added) a = amplitude, c = phase shift, d = vertical shift, 2π/b = period
-for tan, the period is π/k
+(for tan the period is π/b)
-----------
+==== Sin/Cos table ====
+^  Radians    ^  Degrees  ^  Cos  ^  Sin  ^
+|   **0**     |   0      |   1    |   0   |
+|   π/6       |   30     |  √3/2  |  1/2  |
+|   π/4       |   45     |  √2/2  |  √2/2  |
+|   π/3       |   60     |  1/2  |  √3/2  |
+|   **π/2**   |   90     |   0   |   1   |
+|   2π/3      |   120    |  -1/2  |  √3/2  |
+|   3π/4      |   135    |  -√2/2  |  √2/2  |
+|   5π/6      |   150    |  -√3/2  |  1/2  |
+|   **π**       |   180    |  -1   |   0   |
+|  -5π/6, 7π/6  |   210    |  -√3/2  |  -1/2  |
+|  -3π/4, 5π/4  |   225    |  -√2/2  |  -√2/2  |
+|  -2π/3, 4π/3  |   240    |  -1/2  |  -√3/2  |
+|  **-π/2, 3π/2**  |   270    |   0    |  -1   |
+|  -π/3, 5π/3   |   300    |  1/2   |  -√3/2  |
+|  -π/4, 7π/4   |   315    |  √2/2  |  -√2/2  |
+|  -π/6, 11π/6  |   330    |  √3/2  |  -1/2  |
+|  **0, 2π**      |   360    |   1   |   0   |
+==== Conversion Theorems ====
 double angle: 2θ
   sin(2θ) = 2sin(θ)cos(θ)

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