2. Angle Sum and Difference Identities Practice

Which of the following is the same as  $\cos\ \left(A+B\right)$  

•  $\sin A\cos\ B\ +\ \cos\ A\ \sin\ B$  

•  $\sin\ A\ \cos\ B\ -\ \cos\ A\ \sin\ B$  

•  $\cos\ A\ \cos\ B\ +\ \sin\ A\ \sin\ B$  

•  $\cos\ A\ \cos\ B\ -\ \sin\ A\ \sin\ B$  

Tags

CCSS.HSG.SRT.C.7

Which of the following is equivalent to  $\tan\ \left(A-B\right)$  

•  $\tan\ A\ -\ \tan\ B$  

•  $\frac{\tan\ A\ -\tan\ B}{1+\ \tan A\tan B}$  

•  $\frac{\tan\ A\ +\tan\ B}{1-\ \tan A\tan B}$  

•  $\frac{\sin\ A}{\cos\ B}$  

Tags

CCSS.HSG.SRT.C.7

Expand  $\sin\ \left(33^{o\ }+42^o\right)$  

•  $\sin\ 75^{o\ }$  

•  $\sin\ 33^o\cos42^o+\cos33^o\sin42^o$  

•  $\sin\ 33^o\cos42^o-\cos33^o\sin42^o$  

•  $\cos33^o\cos42^o+\sin33^o\sin42^o$  

Tags

CCSS.HSG.SRT.C.7

Expand  $\cos\ \left(\frac{\pi}{5}+\frac{\pi}{6}\right)$  

•  $\cos\frac{\pi}{5}\cos\frac{\pi}{6}-\sin\frac{\pi}{5}\sin\frac{\pi}{6}\$  

•  $\cos\frac{\pi}{5}\cos\frac{\pi}{6}+\sin\frac{\pi}{5}\sin\frac{\pi}{6}\$  

•  $\cos\ \frac{2\pi}{11}$  

•  $\cos\frac{\pi}{5}\sin\frac{\pi}{6}-\cos\frac{\pi}{5}\sin\frac{\pi}{6}\$  

Tags

CCSS.HSG.SRT.C.8

Only using angles available on the unit circle, find the set of angles that will add or subtract to the given angle:
 $15\degree$  

•  $75\degree-60\degree$  

•  $115\degree-100\degree$  

•  $60\degree-45\degree$  

•  $85\degree-70\degree$  

Tags

CCSS.HSG.SRT.C.8

Only using angles available on the unit circle, find the set of angles that will add or subtract to the given angle:
 $75\degree$  

•  $80\degree-5\degree$  

•  $40\degree+35\degree$  

•  $100\degree-25\degree$  

•  $30\degree+45\degree$  

Tags

CCSS.HSG.SRT.C.8

Only using angles available on the unit circle, find the set of angles that will add or subtract to the given angle:
 $165\degree$  

•  $185\degree-20\degree$  

•  $45\degree+120\degree$  

•  $35\degree+130\degree$  

•  $180\degree-15\degree$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

Only using angles available on the unit circle, find the set of angles that will add or subtract to the given angle:
 $105\degree$  

•  $120\degree-15\degree$  

•  $180\degree-75\degree$  

•  $55\degree+50\degree$  

•  $60\degree+45\degree$  

Tags

CCSS.HSF.TF.A.3

Only using angles available on the unit circle, find the set of angles that will add or subtract to the given angle:
 $255\degree$  

•  $200\degree+55\degree$  

•  $220\degree+35\degree$  

•  $300\degree-45\degree$  

•  $360\degree-105\degree$  

Tags

CCSS.HSF.TF.C.9

Use a sum or difference identity to find the EXACT value:

 $\sin\left(15\degree\right)$  

• 0.2588

• 0.6503
  

•  $\frac{\sqrt{6}-\sqrt{2}}{4}$  

•  $\frac{\sqrt{2}-\sqrt{6}}{4}$  

Tags

CCSS.HSF.TF.C.9