Topics
3A. Trigonometric and Polar Functions
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United States of America
AP Precalculus

3.8 The tangent function

Lesson
Practice

Interactive practice questions

Use the figure to find the value of $\tan\left(\frac{7\pi}{4}\right)$tan(7π4​).

A unit circle in radian, featuring coordinates for special angles with exceptions for $\frac{\pi}{2}$π2​, $\pi$π, $\frac{3\pi}{2}$3π2​, $2\pi$2π, and any other angles that are multiples of $\frac{\pi}{2}$π2​. It is noted that there are exceptions, as they are not indicated in the image.
Medium
1min

Use the figure to find the value of $\tan\left(\frac{19\pi}{4}\right)$tan(19π4​).

Medium
< 1min

Consider the tangent function.

Medium
< 1min

Consider the equation $y=\tan x$y=tanx.

Medium
3min
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Outcomes

3.8.A

Construct representations of the tangent function using the unit circle.

3.8.B

Describe key characteristics of the tangent function.

3.8.C

Describe additive and multiplicative transformations involving the tangent function.

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