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Solve Trig Equation

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Solve Trig Equation
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10 questions

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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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