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Lesson: Directed Angle

Sample Question Videos

Worksheet • 15 Questions • 1 Video

Q1:

Find the negative value of an angle coterminal with 1 9 0 .

Q2:

Find an angle with a positive measure and an angle with a negative measure that are coterminal with an angle of 3 3 2 .

  • A 6 9 2 , 2 8
  • B 2 8 , 3 3 2
  • C 5 1 2 , 2 8
  • D 6 0 2 , 2 8
  • E 2 8 , 6 9 2

Q3:

Find one angle with positive measure and one angle with negative measure which are coterminal to an angle with measure 2 𝜋 3 .

  • A 8 𝜋 3 , 4 𝜋 3
  • B 4 𝜋 3 , 4 𝜋 3
  • C 5 𝜋 3 , 𝜋 3
  • D 8 𝜋 3 , 4 𝜋 3
  • E 8 𝜋 3 , 4 𝜋 3

Q4:

Find one angle with positive measure and one angle with negative measure which are coterminal to an angle with measure 1 5 𝜋 1 7 .

  • A 4 9 𝜋 1 7 , 1 9 𝜋 1 7
  • B 1 9 𝜋 1 7 , 1 9 𝜋 1 7
  • C 3 2 𝜋 1 7 , 2 𝜋 1 7
  • D 4 9 𝜋 1 7 , 1 9 𝜋 1 7
  • E 4 9 𝜋 1 7 , 1 9 𝜋 1 7

Q5:

In which quadrant does the angle 2 4 2 lie?

  • Asecond quadrant
  • Bfirst quadrant
  • Cfourth quadrant
  • Dthird quadrant

Q6:

In which quadrant does the angle 1 9 2 lie?

  • Asecond quadrant
  • Bfirst quadrant
  • Cfourth quadrant
  • Dthird quadrant

Q7:

Which of the following angles is not equivalent to an angle measuring 2 5 in standard position?

  • A 2 0 5
  • B 6 9 5
  • C 3 8 5
  • D 3 3 5

Q8:

Given the angle 2 3 𝜋 5 , find the principal angle.

  • A 7 𝜋 5
  • B 5 𝜋 3
  • C 3 𝜋 5
  • D 5 𝜋 7
  • E 3 𝜋 5

Q9:

Find the smallest positive equivalent of 7 8 8 .

Q10:

Find the positive value of an angle coterminal with 2 5 .

  • A 3 8 5
  • B 2 0 5
  • C 3 3 5
  • D 2 0 5
  • E 3 8 5

Q11:

Find the positive value of an angle coterminal with 2 5 5 .

  • A 1 0 5
  • B 4 3 5
  • C 6 1 5
  • D 4 3 5
  • E 1 0 5

Q12:

In which quadrant does the angle 1 7 𝜋 3 6 lie?

  • Afourth
  • Bsecond
  • Cfirst
  • Dthird

Q13:

In which quadrant does the angle 5 𝜋 3 7 lie?

  • Afirst
  • Bsecond
  • Cfourth
  • Dthird

Q14:

In which quadrant does the angle 7 9 5 lie?

  • Afirst quadrant
  • Bsecond quadrant
  • Cfourth quadrant
  • Dthird quadrant

Q15:

Given the angle 2 7 3 𝜋 3 , find the principal angle.

  • A 𝜋
  • B 4 𝜋 3
  • C 𝜋 3
  • D 2 𝜋
  • E0
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