cos ⁡ ( θ ) = \cos\left(\theta\right)= cos ( θ ) =

cos ⁡ ( − θ ) \cos\left(-\theta\right) cos ( − θ )

− cos ⁡ ( θ ) -\cos\left(\theta\right) − cos ( θ )

− cos ⁡ ( − θ ) -\cos\left(-\theta\right) − cos ( − θ )

sin ⁡ ( θ ) = \sin\left(\theta\right)= sin ( θ ) =

− sin ⁡ ( − θ ) -\sin\left(-\theta\right) − sin ( − θ )

− sin ⁡ ( θ ) -\sin\left(\theta\right) − sin ( θ )

sin ⁡ ( − θ ) \sin\left(-\theta\right) sin ( − θ )

tan ⁡ ( θ ) = \tan\left(\theta\right)= tan ( θ ) =

− tan ⁡ ( − θ ) -\tan\left(-\theta\right) − tan ( − θ )

− tan ⁡ ( θ ) -\tan\left(\theta\right) − tan ( θ )

tan ⁡ ( − θ ) \tan\left(-\theta\right) tan ( − θ )

cos ⁡ ( − θ ) = \cos\left(-\theta\right)= cos ( − θ ) =

cos ⁡ ( θ ) \cos\left(\theta\right) cos ( θ )

− cos ⁡ ( θ ) -\cos\left(\theta\right) − cos ( θ )

− cos ⁡ ( − θ ) -\cos\left(-\theta\right) − cos ( − θ )

sin ⁡ ( − θ ) = \sin\left(-\theta\right)= sin ( − θ ) =

− sin ⁡ ( θ ) -\sin\left(\theta\right) − sin ( θ )

sin ⁡ ( θ ) \sin\left(\theta\right) sin ( θ )

− sin ⁡ ( − θ ) -\sin\left(-\theta\right) − sin ( − θ )

tan ⁡ ( − θ ) = \tan\left(-\theta\right)= tan ( − θ ) =

− tan ⁡ ( θ ) -\tan\left(\theta\right) − tan ( θ )

tan ⁡ ( θ ) \tan\left(\theta\right) tan ( θ )

− tan ⁡ ( − θ ) -\tan\left(-\theta\right) − tan ( − θ )

cos ⁡ ( π 2 + θ ) = \cos\left(\frac{\pi}{2}+\theta\right)= cos ( 2 π + θ ) =

sin ⁡ ( θ ) \sin\left(\theta\right) sin ( θ )

− sin ⁡ ( θ ) -\sin\left(\theta\right) − sin ( θ )

sin ⁡ ( π 2 + θ ) = \sin\left(\frac{\pi}{2}+\theta\right)= sin ( 2 π + θ ) =

cos ⁡ ( θ ) \cos\left(\theta\right) cos ( θ )

− cos ⁡ ( θ ) -\cos\left(\theta\right) − cos ( θ )

cos ⁡ ( π + θ ) = \cos\left(\pi+\theta\right)= cos ( π + θ ) =

− cos ⁡ ( θ ) -\cos\left(\theta\right) − cos ( θ )

cos ⁡ ( θ ) \cos\left(\theta\right) cos ( θ )

sin ⁡ ( π + θ ) = \sin\left(\pi+\theta\right)= sin ( π + θ ) =

− sin ⁡ ( θ ) -\sin\left(\theta\right) − sin ( θ )

sin ⁡ ( θ ) \sin\left(\theta\right) sin ( θ )

cos ⁡ ( π − θ ) = \cos\left(\pi-\theta\right)= cos ( π − θ ) =

− cos ⁡ ( θ ) -\cos\left(\theta\right) − cos ( θ )

cos ⁡ ( θ ) \cos\left(\theta\right) cos ( θ )

sin ⁡ ( π − θ ) = \sin\left(\pi-\theta\right)= sin ( π − θ ) =

sin ⁡ ( θ ) \sin\left(\theta\right) sin ( θ )

− sin ⁡ ( θ ) -\sin\left(\theta\right) − sin ( θ )

tan ⁡ ( π + θ ) = \tan\left(\pi+\theta\right)= tan ( π + θ ) =

tan ⁡ ( θ ) \tan\left(\theta\right) tan ( θ )

− tan ⁡ ( θ ) -\tan\left(\theta\right) − tan ( θ )

tan ⁡ ( π − θ ) = \tan\left(\pi-\theta\right)= tan ( π − θ ) =

− tan ⁡ ( θ ) -\tan\left(\theta\right) − tan ( θ )

tan ⁡ ( θ ) \tan\left(\theta\right) tan ( θ )

Trig Identities: Symmetry & Periodicity

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.TF.A.4, HSF.TF.C.9

Standards-aligned

Stephanie Hontz

Used 64+ times

FREE Resource

14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\cos\left(\theta\right)=$

$-\cos\left(\theta\right)$

$\cos\left(-\theta\right)$

$-\cos\left(-\theta\right)$

Tags

CCSS.HSF.TF.A.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\sin\left(\theta\right)=$

$-\sin\left(\theta\right)$

$\sin\left(-\theta\right)$

$-\sin\left(-\theta\right)$

Tags

CCSS.HSF.TF.A.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\tan\left(\theta\right)=$

$-\tan\left(\theta\right)$

$\tan\left(-\theta\right)$

$-\tan\left(-\theta\right)$

Tags

CCSS.HSF.TF.A.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\cos\left(-\theta\right)=$

$-\cos\left(\theta\right)$

$\cos\left(\theta\right)$

$-\cos\left(-\theta\right)$

Tags

CCSS.HSF.TF.A.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin\left(-\theta\right)=$

$-\sin\left(\theta\right)$

$\sin\left(\theta\right)$

$-\sin\left(-\theta\right)$

Tags

CCSS.HSF.TF.A.4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\tan\left(-\theta\right)=$

$-\tan\left(\theta\right)$

$\tan\left(\theta\right)$

$-\tan\left(-\theta\right)$

Tags

CCSS.HSF.TF.A.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\cos\left(\frac{\pi}{2}+\theta\right)=$

$\sin\left(\theta\right)$

$-\sin\left(\theta\right)$

Tags

CCSS.HSF.TF.C.9

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Trig Identities: Symmetry & Periodicity

14 questions

$\cos\left(\theta\right)=$

$\sin\left(\theta\right)=$

$\tan\left(\theta\right)=$

$\cos\left(-\theta\right)=$

$\sin\left(-\theta\right)=$

$\tan\left(-\theta\right)=$

$\cos\left(\frac{\pi}{2}+\theta\right)=$

$\sin\left(\frac{\pi}{2}+\theta\right)=$

$\cos\left(\pi+\theta\right)=$

$\sin\left(\pi+\theta\right)=$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Trig Identities: Symmetry & Periodicity

14 questions

cos⁡(θ)=\cos\left(\theta\right)=cos(θ)=

sin⁡(θ)=\sin\left(\theta\right)=sin(θ)=

tan⁡(θ)=\tan\left(\theta\right)=tan(θ)=

cos⁡(−θ)=\cos\left(-\theta\right)=cos(−θ)=

sin⁡(−θ)=\sin\left(-\theta\right)=sin(−θ)=

tan⁡(−θ)=\tan\left(-\theta\right)=tan(−θ)=

cos⁡(π2+θ)=\cos\left(\frac{\pi}{2}+\theta\right)=cos(2π​+θ)=

sin⁡(π2+θ)=\sin\left(\frac{\pi}{2}+\theta\right)=sin(2π​+θ)=

cos⁡(π+θ)=\cos\left(\pi+\theta\right)=cos(π+θ)=

sin⁡(π+θ)=\sin\left(\pi+\theta\right)=sin(π+θ)=

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

$\cos\left(\theta\right)=$

$\sin\left(\theta\right)=$

$\tan\left(\theta\right)=$

$\cos\left(-\theta\right)=$

$\sin\left(-\theta\right)=$

$\tan\left(-\theta\right)=$

$\cos\left(\frac{\pi}{2}+\theta\right)=$

$\sin\left(\frac{\pi}{2}+\theta\right)=$

$\cos\left(\pi+\theta\right)=$

$\sin\left(\pi+\theta\right)=$