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Solving Trig Equations/Law of Sines

Authored by Tyler Honeycutt

Mathematics

12th Grade

CCSS covered

Used 18+ times

Solving Trig Equations/Law of Sines
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11 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor Completely:
9cos2x - 12cosx +4

(3cosx + 4) ( 3cosx +1)
(3cosx - 2)2
(cosx -2)(cosx - 2)
(9cosx -2) (cosx -2)

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor Completely:
1 - 4sin2x

(1 - 2sinx)2
(sinx -2) (sinx +2)
(2sinx -1) (2sinx +1)
(1 - 2sinx) (1 +2sinx)

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve on the Interval [0,2π)
tan(x)+1=2

0 and π  
3π/4 and 7π/4
π/4 and 5π/4
3π/4 and 5π/4

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following angles are solutions to:

4cos2(2x) - 2 = 0? From 0 - 2π

π/4, 3π/4, 5π/4, 7π/4

π/4, 3π/4, 5π/4, 7π/4, 9π/4, 11π/4, 13π/4, 15π/4

π/8, 3π/8, 5π/8, 7π/8

π/8, 3π/8, 5π/8, 7π/8, 9π/8, 11π/8, 13π/8, 15π/8

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve
2cos2θ -1=0
on θ∈[0, 2π)

θ = π /4, 7π /4
θ = π /4, 3π /4
θ = 3π /4, 5π /4
θ = π /4, 3π /4, 5π /4, 7π /4

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

1 min • 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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for the unknown variable on the interval 0≤x<2π

csc2x - cscx - 2 = 0

3π/2, π/6, 5π/6

π/2, π/6, 5π/6

3π/2, π/3, 2π/3

Tags

CCSS.HSF.TF.B.7

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