Trig - Sum and Difference

Trig - Sum and Difference

9th - 12th Grade

10 Qs

quiz-placeholder

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Trig - Sum and Difference

Trig - Sum and Difference

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSF.TF.C.9, 8.G.B.7

Standards-aligned

Created by

Scott Mocabee

Used 263+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is equivalent to  sin(α+β)\sin\left(\alpha+\beta\right)  ?

 sinαcosα+sinβcosβ\sin\alpha\cos\alpha+\sin\beta\cos\beta  

 sinαcosαsinβcosβ\sin\alpha\cos\alpha-\sin\beta\cos\beta  

 sinαcosβ+cosαsinβ\sin\alpha\cos\beta+\cos\alpha\sin\beta  

 sinαcosβcosαsinβ\sin\alpha\cos\beta-\cos\alpha\sin\beta  

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is equivalent to  cos(αβ)\cos\left(\alpha-\beta\right)  ?

 cosαcosβ+sinαsinβ\cos\alpha\cos\beta+\sin\alpha\sin\beta  

 cosαcosβsinαsinB\cos\alpha\cos\beta-\sin\alpha\sin B  

 cosαsinβ+sinαcosβ\cos\alpha\sin\beta+\sin\alpha\cos\beta  

 cosαsinβsinαcosβ\cos\alpha\sin\beta-\sin\alpha\cos\beta  

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is equivalent to  tan(α+β)\tan\left(\alpha+\beta\right)  ?

 tanα+tanβ1tanαtanβ\frac{\tan\alpha+\tan\beta}{1-\tan\alpha\tan\beta}  

 tanαtanβ1tanαtanβ\frac{\tan\alpha-\tan\beta}{1-\tan\alpha\tan\beta}  

 tanα+tanβ1+tanαtanβ\frac{\tan\alpha+\tan\beta}{1+\tan\alpha\tan\beta}  

 tanαtanβ1+tanαtanβ\frac{\tan\alpha-\tan\beta}{1+\tan\alpha\tan\beta}  

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the exact value of  sin105°\sin105\degree  

 624\frac{\sqrt{6}-\sqrt{2}}{4}  

 264\frac{\sqrt{2}-\sqrt{6}}{4}  

 6+24\frac{\sqrt{6}+\sqrt{2}}{4}  

 3+12\frac{\sqrt{3}+1}{2}  

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 cos105°\cos105\degree  

 2+64\frac{\sqrt{2}+\sqrt{6}}{4}  

 264\frac{\sqrt{2}-\sqrt{6}}{4}  

 624\frac{\sqrt{6}-\sqrt{2}}{4}  

 132\frac{1-\sqrt{3}}{2}  

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 tan105°\tan105\degree  

 232-\sqrt{3}  

 2+32+\sqrt{3}  

 23-2-\sqrt{3}  

 2+3-2+\sqrt{3}  

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If  sinα=513\sin\alpha=\frac{5}{13}  and  cosβ=45\cos\beta=\frac{4}{5}  (both in QI), then find  sin(αβ)\sin\left(\alpha-\beta\right)  

 1665\frac{16}{65}  

 1665-\frac{16}{65}  

 6516\frac{65}{16}  

 6516-\frac{65}{16}  

Tags

CCSS.HSF.TF.C.9

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