Brilliant

Excel in math and science.

Join using Facebook Join using Google Join using email

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Existing user? Log in

Graphs of Trigonometric Functions

Tangent and Cotangent Graphs

What is the value of $\theta$ satisfying $8\tan^2\theta = 24$ and $-\frac{\pi}{2} < \theta < \frac{\pi}{2}?$

\frac{\pi}{4}

-\frac{\pi}{4}

\frac{\pi}{6}

\frac{\pi}{3}

-\frac{\pi}{3}

View wiki

by Brilliant Staff

What is the minimum value of the function $y= \tan\theta+18,$ where $\frac{\pi}{3} \leq \theta < \frac{\pi}{2} ?$

\sqrt{3}+{18}

\sqrt{2}+{16}

\sqrt{2}+{20}

\sqrt3

View wiki

by Brilliant Staff

What is the range of $\theta$ that satisfies $\tan\theta +6 \geq \cot\theta +6$ and $0 \leq \theta < \pi ?$

\frac{\pi}{3} \ < \theta < \frac{2\pi}{3}

\frac{\pi}{4} \leq \theta < \frac{\pi}{2}, \frac{3\pi}{4} \leq \theta < \pi

\frac{\pi}{3} \leq \theta < \frac{\pi}{2}, \frac{\pi}{2} < \theta < \pi

0 \leq \theta < \frac{\pi}{2}

View wiki

by Brilliant Staff

What is the period of the function $y=\cot\frac{\theta}{2} ?$

\pi

2\pi

3\pi

\frac{\pi}{2}

View wiki

by Brilliant Staff

Which of the following functions corresponds to the above graph?

y=\cot\theta

y=-\tan\theta

y=\tan\theta

y=-\cot\theta

View wiki

by Brilliant Staff

Problem Loading...

Note Loading...

Set Loading...