Angle Sum/Difference Identities

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.HSF.TF.A.3

CCSS.HSF.TF.C.9

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.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:
 $165\degree$  

•  $185\degree-20\degree$  

•  $45\degree+120\degree$  

•  $35\degree+130\degree$  

•  $180\degree-15\degree$  

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

Use a sum or difference identity to find the EXACT value:
 $\sin\left(75\degree\right)$  

• -0.3879

• 0.9659

•  $\frac{\sqrt{2}-\sqrt{6}}{4}$  

•  $\frac{\sqrt{2}+\sqrt{6}}{4}$  

Tags

CCSS.HSF.TF.C.9

Use a sum or difference identity to find the EXACT value:
 $\cos\left(75\degree\right)$  

• 0.2588

• 0.9218

•  $\frac{\sqrt{6}-\sqrt{2}}{4}$  

•  $\frac{\sqrt{2}-\sqrt{6}}{4}$  

Tags

CCSS.HSF.TF.C.9

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

 $\cos\left(105\degree\right)$ 

• -0.2410

• -0.2588

•  $\frac{\sqrt{6}-\sqrt{2}}{4}$  

•  $\frac{\sqrt{2}-\sqrt{6}}{4}$  

Tags

CCSS.HSF.TF.C.9

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

 $\cos\left(\frac{\pi}{12}\right)$  

• 0.9659

• 0.9999

•  $\frac{\sqrt{2}+\sqrt{6}}{4}$  

•  $\frac{\sqrt{2}-\sqrt{6}}{4}$  

Tags

CCSS.HSF.TF.C.9