Worksheet: Trigonometric Functions Values with Reference Angles

In this worksheet, we will practice finding reference angles and how to use them to find the values of trigonometric functions.

Q1:

Given the angle 2𝜋3, find the principal angle.

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

Q2:

Given the angle 39𝜋4, find the principal angle.

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

Q3:

Find cos(960) without using a calculator.

  • A 1 2
  • B 1 2
  • C 3
  • D 3 2

Q4:

Find the smallest positive equivalent of 270.

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

Q5:

Find the smallest positive equivalent of 413.

Q6:

Find sec300 without using a calculator.

  • A 1 3
  • B2
  • C 2 3
  • D 2

Q7:

Find the value of sin11𝜋6.

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

Q8:

Find the value of csc5𝜋3.

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

Q9:

What is the reference angle for 153?

Q10:

Evaluate sin225.

  • Aundefined
  • B1
  • C 1 2
  • D 1 2

Q11:

Find csc150 without using a calculator.

  • A 2
  • B 2 3
  • C2
  • D 3

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