10.5 Solving Trig Equations

10.5 Solving Trig Equations

9th - 12th Grade

12 Qs

quiz-placeholder

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10.5 Solving Trig Equations

10.5 Solving Trig Equations

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

CCSS
HSF.TF.B.7, HSA-REI.B.4B

Standards-aligned

Created by

Sara Korotkow

Used 21+ times

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

How many solutions does the following equation have on the given interval?

 sinx=12\sin x=\frac{1}{2}  when  0x<2π0\le x<2\pi  

0

1

2

4

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

How many solutions does the following equation have on the given interval?

 tan2x=3\tan^2x=3  when  0x<2π0\le x<2\pi  

0

1

2

4

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

 cosx+cos2x=0\cos x+\cos^2x=0  

What method would you use to solve the equation?

greatest common factor

cancel cosines

combine like terms

square roots

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Solve cosx+cos2x=0\cos x+\cos^2x=0  on the interval  πx<3π2\pi\le x<\frac{3\pi}{2}  


 π2\frac{\pi}{2}  

 3π2\frac{3\pi}{2} 

 π\pi  

 5π4\frac{5\pi}{4}  

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

 cot2x2cotx+1=0\cot^2x-2\cot x+1=0  

What method would you use to solve the equation?

square roots

combining like terms

factoring

trig identities

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

 cot2x2cotx+1=0\cot^2x-2\cot x+1=0  

Solve on the interval  πx<2π\pi\le x<2\pi  

 π4\frac{\pi}{4}  

 3π4\frac{3\pi}{4}  

 5π4\frac{5\pi}{4}  

 7π4\frac{7\pi}{4}  

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

 2sin2x=22\sin^2x=2  

What method would you use to solve the equation?

square roots

combining like terms

factoring

trig identities

Tags

CCSS.HSF.TF.B.7

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