Domain and Range
Domain: (-∞, ∞)
Range: [-1, 1]
Graph
.gif)
|
X |
Y |
|
0 |
0 |
|
π/2 |
1 |
|
π |
0 |
|
3π/2 |
-1 |
|
2π |
0 |
Description
If there is a circle with a radius of one mapped on the coordinate plane, the input is the number of radians, which is a specific point along the circumference of the circle. The output is the y value associated with that specific point on the unit circle.
Characteristics
Concavity- The graph of y = sin(x) is concave down from [0+2kπ,π+2kπ], and concave up from [π+2kπ,2π+2kπ].
Decreasing/Increasing- The graph y = sin(x) is decreasing from [π/2+2kπ,3π/2+2kπ], and increasing from [3π/2+2kπ,π/2+2(k+1)π].
Symmetry- The graph of y = sin(x) has odd symmetry because if rotated 180° around the origin, it would be the same graph.
Maximum: 1, every π/2+2kπ
Minimum: -1 every 3π/2+2kπ
Limits-
