Solve Trig Equation
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
So tanx sin2x = 2 tanx is equivalent to tanx(sin2x − 2) = 0 Then tanx = 0 or sin2x − 2 = 0, now what?
solutions come only from tanx = 0,
solutions come only from sin2x − 2 = 0
solutions come from where sin x is undefined
solutions come from where tan x is undefined
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
To solve this equation, cos2x + sinx = 1, replace cos2x with
1/(sec2x)
sin2x − 1
1 − sin2x
1 + tan2x
3.
MULTIPLE CHOICE QUESTION
1 min • 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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
On the domain [0, 2π), solve this equation 0 = sinx(sinx − 1)
0, π
0, π, ½π
½π
0, 90, 270
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
csc2x = 2 is equivalent to sin2x = ½
True
False
Tags
CCSS.HSF.TF.C.8
6.
MULTIPLE CHOICE QUESTION
1 min • 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
1 min • 1 pt
π/6, 11π/6
π/3, 2π/3
π/6, 5π/6, 7π/6, 11π/6
π/3, 2π/3, 4π/3, 5π/3
Tags
CCSS.HSF.TF.B.7
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