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.

  • A12
  • B13
  • C32
  • D12

Q3:

Find the value of sin750 without using a calculator.

  • A13
  • B12
  • C12
  • D13

Q4:

Find the value of cot5𝜋3.

  • A33
  • B1
  • C22
  • D2

Q5:

Find csc960 without using a calculator.

  • A23
  • B13
  • C2
  • D23

Q6:

Find sin210 without using a calculator.

  • A12
  • B13
  • C32
  • D12

Q7:

Find the value of cos5𝜋3.

  • A12
  • B233
  • C2
  • D22

Q8:

Find the value of sin7𝜋4.

  • A22
  • B33
  • C233
  • D1

Q9:

Find tan5𝜋12.

  • A23
  • B23
  • C2+3
  • D2+3

Q10:

Find sin23𝜋12.

  • A624
  • B6+2
  • C6+2
  • D6+24

Q11:

Find the value of tan𝜋4.

  • A1
  • B33
  • C32
  • D233

Q12:

Find the value of sec3𝜋4.

  • A32
  • B32
  • C2
  • D2

Q13:

Find cos(780) without using a calculator.

  • A3
  • B12
  • C32
  • D12

Q14:

Find sin1,380 without using a calculator.

  • A3
  • B32
  • C32
  • D12

Q15:

Find tan(840) without using a calculator.

  • A12
  • B32
  • C3
  • D3

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