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Worksheet: Directed Angle

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 2 8 , 6 9 2
  • B 5 1 2 , 2 8
  • C 6 0 2 , 2 8
  • D 6 9 2 , 2 8
  • E 2 8 , 3 3 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 5 𝜋 3 , 𝜋 3
  • C 8 𝜋 3 , 4 𝜋 3
  • D 8 𝜋 3 , 4 𝜋 3
  • E 4 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 3 2 𝜋 1 7 , 2 𝜋 1 7
  • C 4 9 𝜋 1 7 , 1 9 𝜋 1 7
  • D 4 9 𝜋 1 7 , 1 9 𝜋 1 7
  • E 1 9 𝜋 1 7 , 1 9 𝜋 1 7

Q5:

In which quadrant does the angle 2 4 2 lie?

  • Athird quadrant
  • Bfirst quadrant
  • Cfourth quadrant
  • Dsecond quadrant

Q6:

In which quadrant does the angle 1 9 2 lie?

  • Athird quadrant
  • Bfirst quadrant
  • Cfourth quadrant
  • Dsecond quadrant

Q7:

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

  • A
  • B
  • C
  • D

Q8:

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

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

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

Q11:

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

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

Q12:

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

  • Athird
  • Bsecond
  • Cfirst
  • Dfourth

Q13:

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

  • Athird
  • Bsecond
  • Cfourth
  • Dfirst

Q14:

In which quadrant does the angle 7 9 5 lie?

  • Athird quadrant
  • Bsecond quadrant
  • Cfourth quadrant
  • Dfirst quadrant

Q15:

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

  • A0
  • B 𝜋 3
  • C 2 𝜋
  • D 𝜋
  • E 4 𝜋 3