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INVERSE TRIGNOMETRIC FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINVERSE TRIGNOMETRIC FUNCTIONS1 Mark
Question
State True or False for the statement.
The graph of inverse trigonometric function can be obtained from the graph of their corresponding trigonometric function by interchanging x and y axes.
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Answer

True.Solution:
If we interchange the coordinates of all the points in the graph of any trigonometric function, then we will get the graph of an inverse function of the respective function.
In other words, the graph of inverse trigonometric function is a mirror image (i.e., reflection) along the line y = x of the corresponding trigonometric function.

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