Worksheet: Evaluating Trigonometric Functions Using Periodic Functions

In this worksheet, we will practice using the properties of periodic functions to evaluate trigonometric functions.

Q1:

Find the value of sincos45+45.

Q2:

Find sin570 without using a calculator.

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

Q3:

Find the value of sin750 without using a calculator.

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

Q4:

Find the value of cot5𝜋3.

  • A 3 3
  • B1
  • C 2 2
  • D2

Q5:

Find csc960 without using a calculator.

  • A 2 3
  • B 1 3
  • C 2
  • D 2 3

Q6:

Find sin210 without using a calculator.

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

Q7:

Find the value of cos5𝜋3.

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

Q8:

Find the value of sin7𝜋4.

  • A 2 2
  • B 3 3
  • C 2 3 3
  • D1

Q9:

Find tan5𝜋12.

  • A 2 3
  • B 2 3
  • C 2 + 3
  • D 2 + 3

Q10:

Find sin23𝜋12.

  • A 6 2 4
  • B 6 + 2
  • C 6 + 2
  • D 6 + 2 4

Q11:

Find the value of tan𝜋4.

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

Q12:

Find the value of sec3𝜋4.

  • A 3 2
  • B 3 2
  • C 2
  • D 2

Q13:

Find cos(780) without using a calculator.

  • A 3
  • B 1 2
  • C 3 2
  • D 1 2

Q14:

Find sin1,380 without using a calculator.

  • A 3
  • B 3 2
  • C 3 2
  • D 1 2

Q15:

Find tan(840) without using a calculator.

  • A 1 2
  • B 3 2
  • C 3
  • D 3

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