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  5. Quiz 11 Practice: Sum And Difference Identities

Quiz 11 Practice: Sum and Difference Identities

Authored by Kimberly Sanquilly

Mathematics

12th Grade

CCSS covered

Used 11+ times

Quiz 11 Practice: Sum and Difference Identities
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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

 sin⁡Acos⁡ B + cos⁡ A sin⁡ B\sin A\cos\ B\ +\ \cos\ A\ \sin\ B  

 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  

 cos⁡ A cos⁡ B − sin⁡ A sin⁡ B\cos\ A\ \cos\ B\ -\ \sin\ A\ \sin\ B  

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

 tan⁡ A − tan⁡ B\tan\ A\ -\ \tan\ B  

 tan⁡ A −tan⁡ B1+ tan⁡Atan⁡B\frac{\tan\ A\ -\tan\ B}{1+\ \tan A\tan B}  

 tan⁡ A +tan⁡ B1− tan⁡Atan⁡B\frac{\tan\ A\ +\tan\ B}{1-\ \tan A\tan B}  

 sin⁡ Acos⁡ B\frac{\sin\ A}{\cos\ B}  

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

 sin⁡ 75o \sin\ 75^{o\ }  

 sin⁡ 33ocos⁡42o+cos⁡33osin⁡42o\sin\ 33^o\cos42^o+\cos33^o\sin42^o  

 sin⁡ 33ocos⁡42o−cos⁡33osin⁡42o\sin\ 33^o\cos42^o-\cos33^o\sin42^o  

 cos⁡33ocos⁡42o+sin⁡33osin⁡42o\cos33^o\cos42^o+\sin33^o\sin42^o  

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Expand  cos⁡ (π5+π6)\cos\ \left(\frac{\pi}{5}+\frac{\pi}{6}\right)  

 cos⁡π5cos⁡π6−sin⁡π5sin⁡π6 \cos\frac{\pi}{5}\cos\frac{\pi}{6}-\sin\frac{\pi}{5}\sin\frac{\pi}{6}\   

 cos⁡π5cos⁡π6+sin⁡π5sin⁡π6 \cos\frac{\pi}{5}\cos\frac{\pi}{6}+\sin\frac{\pi}{5}\sin\frac{\pi}{6}\   

 cos⁡ 2π11\cos\ \frac{2\pi}{11}  

 cos⁡π5sin⁡π6−cos⁡π5sin⁡π6 \cos\frac{\pi}{5}\sin\frac{\pi}{6}-\cos\frac{\pi}{5}\sin\frac{\pi}{6}\   

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use sum or difference angles identity to find the exact value for  cos⁡105o\cos105^o  

 6+24\frac{\sqrt{6}+\sqrt{2}}{4}  

 6−24\frac{\sqrt{6}-\sqrt{2}}{4}  

 −6−24\frac{-\sqrt{6}-\sqrt{2}}{4}  

 2−64\frac{\sqrt{2}-\sqrt{6}}{4}  

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use sum or difference angles identity to find the exact value for       sin⁡ (−15o)\sin\ \left(-15^o\right)  

 6+24\frac{\sqrt{6}+\sqrt{2}}{4}  

 6−24\frac{\sqrt{6}-\sqrt{2}}{4}  

 2−64\frac{\sqrt{2}-\sqrt{6}}{4}  

 −32-\frac{\sqrt{3}}{2}  

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given  sin⁡x=35and sin⁡y=23,\sin x=\frac{3}{5}and\ \sin y=\frac{2}{3},  where  x and yx\ and\ y  are both in first quadrant.   Evaluate sin⁡(x+y)Evaluate\ \sin\left(x+y\right)  

 35+815\frac{3\sqrt{5}+8}{15}  

 45+615\frac{4\sqrt{5}+6}{15}  

 25+1215\frac{2\sqrt{5}+12}{15}  

 45+25\frac{4\sqrt{5}+2}{5}  

Tags

CCSS.HSF.TF.C.9

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