Solving Trig Equations - Extra Time

Quiz
•
Mathematics
•
11th - 12th Grade
•
Medium
Standards-aligned
Alison Fauerbach
Used 39+ times
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Why doesn't 2cosx − 3 = 0 have solutions?
cos x is never bigger than one
cos x is never equal to a fraction
Actually, this equation does have a solution, x = π
This equation will have a solution tomorrow.
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which of these is equivalent to 2cos2x − 3cosx = 0 ?
-cos2x = 0
cosx(2cosx + 3) = 0
cosx(2cosx − 3) = 0
cos x = ⅔
Tags
CCSS.HSF.TF.B.7
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Choose a good way to start solving this equation
tanx sin2x = 2 tanx
divide tanx from both sides
factor out tanx
subtract 2 tanx from the left and then factor tanx out
cancel sin2x out
Tags
CCSS.HSF.TF.B.7
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Factor 0 = sin2x − sinx
0 = sinx(sinx)
0 = sinx(1 − sinx)
0 = cosx(sinx − 1)
0 = sinx(sinx − 1)
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Factor: sec2x − secx − 2
(sec x)(secx − 2)
(secx − 2)(secx − 1)
(secx − 2)(secx + 1)
(secx + 2)(secx − 1)
Tags
CCSS.HSA.APR.C.4
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
To solve the equation sec2x − secx = 2
start by subtracting 2 from both sides and then factor
add sec x to both sides and factor
factor out secx and set each factor equal to 2
sec x is never bigger than 1, so there are no solutions
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
csc2x = 2 is equivalent to sin2x = ½
True
False
Tags
CCSS.HSF.TF.C.8
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