Geometry

Graphs of Trigonometric Functions

Inverse Trigonometric Graphs

         

What is the xx-coordinate of the intersection point between the graphs y=arccosxy=\arccos x and y=π2?y=\frac{\pi}{2} ?

What is the value of the xx-coordinate of the intersection points between y=arcsinxy=\arcsin x and y=arccosx?y=\arccos x?

What is the minimum value of the function y=arcsinx y= \lvert\arcsin x\rvert in the interval 1x1?-1 \leq x \leq 1?

Let y=tanxy=\tan x for π2<x<π2. -\frac{\pi}{2} < x < \frac{\pi}{2} . What is the range of the inverse function arctanx?\arctan x?

The above diagram shows the graph of which of the following inverse trigonometric functions?

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