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.

  • A2𝜋3
  • B𝜋3
  • C4𝜋3
  • D2𝜋
  • E𝜋

Q2:

Given the angle 39𝜋4, find the principal angle.

  • A7𝜋4
  • B3𝜋4
  • C4𝜋7
  • D4𝜋3
  • E𝜋4

Q3:

Find cos(960) without using a calculator.

  • A12
  • B12
  • C3
  • D32

Q4:

Find the smallest positive equivalent of 270.

Q5:

Find the smallest positive equivalent of 413.

Q6:

Find sec300 without using a calculator.

  • A2
  • B2
  • C13
  • D23

Q7:

Find the value of sin11𝜋6.

  • A12
  • B2
  • C22
  • D233

Q8:

Find the value of csc5𝜋3.

  • A233
  • B33
  • C1
  • D32

Q9:

What is the reference angle for 153?

Q10:

Evaluate sin225.

  • A12
  • B12
  • Cundefined
  • D1

Q11:

Find csc150 without using a calculator.

  • A3
  • B2
  • C23
  • D2

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