6.6 Graphing INVERSES Of Trigonometric Functions

Inverse Equation to Graph

        Find the inverse of the function y = Sin x.  Then graph both functions. 

To find the inverse you must switch the x and y positions in the original function. 

This makes the function look like

x = Sin y   

To express the function as a graph you need to solve for y in this form.

x / Sin = y 

This function is also equal to y = Sin^-1 x  or y = Arcsin x.

Now since we have found the equations, we need to graph.

y = Sin x

To draw the inverse you must create the original y = Sin x.  Then create asymptotes at the 

pie and 2 pie.  This happens because you can not have a value for y when sin equals zero. 

After that you then create the opposite of what the original graph looks like. 

y = Sin^-1 x

Quote

A lie gets halfway around the world before the truth has a chance to get its pants on.

Sir Winston Churchill

This quote tells us that people should be more truthful and trustworthy to others

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