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19 Qs

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Solving trig equations algebraically

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Nov. 22 Trig. Identities and Equations

Nov. 22 Trig. Identities and Equations

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Frank Arthur

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19 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

π / 3
2π / 3
5π / 3
7π / 3

2.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Solve
cos2θ = ½ 
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

3.

MULTIPLE CHOICE QUESTION

15 mins • 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

4.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

2 sinθ+3=2

π/6,2π/3
7π/6 
7π/6, 11π/6

5.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Solve on the domain [0, 2π)
1/2sec x - 1 = 0

π/6, 5π/6
π/3, 5π/3
2π/3, 4π/3
7π/6, 11π/6

6.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Solve on the domain [0, 2π)
4sin2x = 3

π/6, 11π/6
π/3, 2π/3
π/6, 5π/6, 7π/6, 11π/6
π/3, 2π/3, 4π/3, 5π/3

7.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Solve on the domain [0, 2π)
2sin x cos x = √2 cos x

π/2, 3π/2
0, π/4, 3π/4
π/2, 3π/2, π/4, 3π/4
No solution

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