Inverses and Solving Trig Equations

Inverses and Solving Trig Equations

10th - 12th Grade

8 Qs

quiz-placeholder

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Inverses and Solving Trig Equations

Inverses and Solving Trig Equations

Assessment

Quiz

Mathematics

10th - 12th Grade

Hard

CCSS
HSF.TF.B.7

Standards-aligned

Created by

Edward Jones

Used 22+ times

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 cos1(1)=\cos^{-1}\left(1\right)=  

0

1

 π\pi  

 π2\frac{\pi}{2}  

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 csc1(2)=\csc^{-1}\left(2\right)=  

 π4\frac{\pi}{4}  

 π3\frac{\pi}{3}  

 π6\frac{\pi}{6}  

 π2\frac{\pi}{2}  

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 cos(arctan 34)=\cos\left(\arctan\ \frac{3}{4}\right)=  

 11  

 34\frac{3}{4}  

 35\frac{3}{5}  

 45\frac{4}{5}  

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use a calculator:

 cos1(0.81)=\cos^{-1}\left(-0.81\right)=  

 21.12°21.12\degree  

 123.87°123.87\degree  

 35.90°35.90\degree  

 144.10°144.10\degree  

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find ALL solutions to the following:

 sinx=22\sin x=-\frac{\sqrt{2}}{2}  

 5π4+nπ\frac{5\pi}{4}+n\pi  

 5π4+2nπ , 7π4+2nπ\frac{5\pi}{4}+2n\pi\ ,\ \frac{7\pi}{4}+2n\pi  

 7π4+nπ\frac{7\pi}{4}+n\pi  

 π4+2nπ , 3π4+2nπ\frac{\pi}{4}+2n\pi\ ,\ \frac{3\pi}{4}+2n\pi  

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Select all solutions that are within the interval

 [0,2π)\left[0,2\pi\right)  .

 tan(x+π6)+1=0\tan\left(x+\frac{\pi}{6}\right)+1=0  

 5π12-\frac{5\pi}{12}  

 7π12\frac{7\pi}{12}  

 5π12\frac{5\pi}{12}  

 11π12\frac{11\pi}{12}  

 19π12\frac{19\pi}{12}  

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Select all solutions within the interval  \left[0,2\pi\right)  .


 sin x2=32\sin\ \frac{x}{2}=\frac{\sqrt{3}}{2}  

 2π3\frac{2\pi}{3}  

 π3\frac{\pi}{3}  

 4π3\frac{4\pi}{3}  

 5π3\frac{5\pi}{3}  

 17π3\frac{17\pi}{3}  

Tags

CCSS.HSF.TF.B.7

8.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

The rabbit population of an area is described by  N\left(t\right)=2400+500\sin\left(\pi t\right)  , where N(t) gives the number of rabbits in the area after t years. When will the rabbit population first reach 1900?


Fill your decimal answer into the blank.

_______ years

Tags

CCSS.HSF.TF.B.7