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Graphs of Trigonometric Functions

Concept Quizzes

Graphs of Trigonometric Functions Warmup
Sine and Cosine Graphs
Tangent and Cotangent Graphs
Cosec and Sec Graphs
Inverse Trigonometric Graphs
Symmetry in Trigonometric Graphs
Trigonometric Graphs - Amplitude and Periodicity
Graphical Transformation of Trigonometric Functions
Recognizing Trigonometric Graphs
Graphs of Trigonometric Functions - Problem Solving

Challenge Quizzes

Graphs of Trigonometric Functions: Level 2 Challenges
Graphs of Trigonometric Functions: Level 3 Challenges

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}

0

\frac{\pi}{4}

1

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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}

0

\frac{\pi}{2}

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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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