
Draw the graph of an inverse trigonometric function?
Answer
475.8k+ views
Hint: Given an inverse trig function. We have to plot the inverse trigonometric function such as arcsine, arccosine, arctangent etc. functions. The graph of inverse trig function is plotted by switching the values of x and y variables. Also, the graph of the inverse trig function is symmetrical around the line with equation .
Complete step by step answer:
First we will plot the graph of the trigonometric function by finding the value of for different values of .
For , find the value of .
Apply the identity to the expression.
Substitute the value of into the expression.
For , find the value of .
Substitute the value of into the expression.
For , find the value of .
Substitute the value of into the expression.
Now, write the values of for different values of in tabular form.
Now, draw the graph of by plotting the coordinates on the set of x and y axis and join them.
Now, compute the value of for the graph of inverse trig function by switching the values of x and y.
Now, draw the graph of by plotting the coordinates on the set of x and y axis and join them
Note: In such types of questions students mainly do mistakes while plotting the points on the set of axes. In an ordered pair , the value of is the distance of the point from -axis whereas the value of is plotted by taking the distance from the -axis. In such types of questions, the graph of function is obtained by plotting these points.
Complete step by step answer:
First we will plot the graph of the trigonometric function
For
Apply the identity
Substitute the value of
For
Substitute the value of
For
Substitute the value of
Now, write the values of
Now, draw the graph of

Now, compute the value of
Now, draw the graph of

Note: In such types of questions students mainly do mistakes while plotting the points on the set of axes. In an ordered pair
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