Exercises: Symmetry and Periodicity of Trigonometric Functions

Grade 9·22 problems·~35 min·Common Core Math - HS Functions·group·hsf-tf-a-4

Work through problems with immediate feedback

Fluency Practice

The tangent function has period $\pi$ .

Given that $\tan\!\left(\dfrac{\pi}{4}\right) = 1$ ,
which of the following equals $-1$ ?

$\tan\!\left(\dfrac{\pi}{4} + \pi\right)$

$\tan\!\left(\dfrac{\pi}{4} + 2\pi\right)$

$\tan\!\left(\dfrac{\pi}{4} - 2\pi\right)$

$\tan\!\left(-\dfrac{\pi}{4}\right)$