Worksheet: Exact Values of Trigonometric Ratios

In this worksheet, we will practice finding exact circular function values.

Q1:

Find 𝜃 given sin𝜃=12 and cos𝜃=32.

  • A 𝜋 6
  • B 𝜋 5
  • C0
  • D 1 1 𝜋 6
  • E 5 𝜋 6

Q2:

Find the value of tantan4560.

  • A2
  • B 2
  • C 3 2
  • D 3 2

Q3:

Find the exact value of sin30.

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

Q4:

Find the value of cos𝜋3.

  • A 1 2
  • B 1 2
  • C1
  • D 1

Q5:

Find the value of cos2𝜋3.

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

Q6:

Find the value of sin3𝜋4.

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

Q7:

Find the value of tan5𝜋6.

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

Q8:

Find the value of cos5𝜋4.

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

Q9:

Find the value of sec𝜋4.

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

Q10:

Find the value of sin𝜋6.

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

Q11:

The value of tan𝜃=45. Find the exact values of sin𝜃 and cos𝜃.

  • A s i n 𝜃 = 4 3 and cos𝜃=53
  • B s i n 𝜃 = 4 9 and cos𝜃=59
  • C s i n 𝜃 = 5 9 and cos𝜃=49
  • D s i n 𝜃 = 4 4 1 and cos𝜃=541
  • E s i n 𝜃 = 5 4 1 and cos𝜃=441

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