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Geometry

# Inverse Trigonometric Graphs

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

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

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

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

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

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