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Worksheet: Finding Reference Angles and Using Them to Find the Values of Trigonometric Functions

Q1:

Find the smallest positive equivalent of 2 7 0 .

  • A 6 3 0
  • B 4 5 0
  • C 4 5 0
  • D 9 0
  • E 2 7 0

Q2:

Find the smallest positive equivalent of 4 1 3 .

Q3:

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

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

Q4:

Given the angle 3 9 𝜋 4 , find the principal angle.

  • A 𝜋 4
  • B 3 𝜋 4
  • C 4 𝜋 3
  • D 7 𝜋 4
  • E 4 𝜋 7

Q5:

Find s e c 3 0 0 without using a calculator.

  • A 1 3
  • B 2 3
  • C 2
  • D2

Q6:

Find c o s ( 9 6 0 ) without using a calculator.

  • A 3
  • B 3 2
  • C 1 2
  • D 1 2

Q7:

Find the value of c s c 5 𝜋 3 .

  • A 3 2
  • B 1
  • C 3 3
  • D 2 3 3

Q8:

Find the value of s i n 1 1 𝜋 6 .

  • A 2 3 3
  • B 2 2
  • C 2
  • D 1 2