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Graphs of Trigonometric Functions

Inverse Trigonometric Graphs

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

\frac{\pi}{2}

\frac{\pi}{4}

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by Brilliant Staff

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

\frac{\sqrt{2}}{2}

-\frac{\sqrt{2}}{2}

\frac{\pi}{2}

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by Brilliant Staff

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

\pi

\frac{\pi}{2}

1 0

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by Brilliant Staff

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

-\frac{\pi}{4} < \arctan x < \frac{\pi}{4}

-1 < \arctan x < 1

0 < \arctan x < \frac{\pi}{2}

-\frac{\pi}{2} < \arctan x < \frac{\pi}{2}

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by Brilliant Staff

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

y=-\arcsin x

y=\arcsin x

y=-\arccos x

y=\arccos x

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by Brilliant Staff

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