Graphing Inverse Sine Function
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This example demonstrates how to graph the inverse sine function. It involves the core concept of trigonometric functions, specifically the properties of the inverse sine function. Using GeoGebra commands, the function f(x) = arcsin(x) is constructed. This example is suitable for high school mathematics education, helping students understand the characteristics of trigonometric function graphs.
GeoGebra Commands & Parameters
f(x) = If[((-π)) / 2 ≤ x ≤ π / 2,sin(x)]g(x) = sin(x)Point A(1.5707963267948966, 1.0)Point B(-1.5707963267948966, -1.0)Line a(-1.0, 1.0, 0.0)Point C(1.0, 1.5707963267948966)Point D(-1.0, -1.5708)h(x) = asin(x)Boolean b(false)Boolean c(false)Boolean d(false)Boolean e(false)Boolean i(false)Line j(0.0, 1.0, -0.5)Point E(0.5235987755982988, 0.5)Point F(2.617993877991494, 0.5)Point G(-3.6651914291880923, 0.5)Boolean k(false)
AI Drawing Prompt Reference
Draw the graph of the inverse sine function y=arcsin(x). First, draw the sine function y=sin(x). Then, using the properties of inverse functions, draw y=arcsin(x). Note the domain restriction to [-π/2, π/2] and mark key points (1.57, 1) and (-1.57, -1).
The prompt above was compiled from the original drawing commands and is for reference only.