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 s i n c o s 2 2 4 5 + 4 5 .

Q2:

Evaluate 6 2 4 5 s i n 2 .

  • A7
  • B 1
  • C 5
  • D5
  • E 7

Q3:

Find the value of 2 7 5 7 5 s i n c o s without using a calculator.

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

Q4:

Find s i n 5 7 0 without using a calculator.

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

Q5:

Find the value of s i n 7 5 0 without using a calculator.

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

Q6:

Find the value of c o t 5 𝜋 3 .

  • A1
  • B 2 2
  • C2
  • D 3 3

Q7:

Evaluate 3 4 3 3 0 c o s 2 .

  • A6
  • B 3
  • C 6
  • D0

Q8:

Evaluate c o s s i n 2 2 𝜋 6 𝜋 6 .

  • A1
  • B 1 2
  • C 1
  • D 1 2
  • E 6 7

Q9:

Find t a n 9 3 0 without using a calculator.

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

Q10:

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

  • A 3
  • B 3 2
  • C 1 2
  • D 1 2

Q11:

Find the value of c o s 5 𝜋 3 .

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

Q12:

Find the value of s i n 7 𝜋 4 .

  • A 3 3
  • B 2 3 3
  • C1
  • D 2 2

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