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.

  • A𝜋6
  • B𝜋5
  • C0
  • D11𝜋6
  • E5𝜋6

Q2:

Find the value of tantan4560.

  • A2
  • B2
  • C32
  • D32

Q3:

Find the exact value of sin30.

  • A12
  • B32
  • C13
  • D12

Q4:

Find the value of cos𝜋3.

  • A12
  • B12
  • C1
  • D1

Q5:

Find the value of cos2𝜋3.

  • A12
  • B13
  • C32
  • D32
  • E12

Q6:

Find the value of sin3𝜋4.

  • A22
  • B12
  • C2
  • D22
  • E2

Q7:

Find the value of tan5𝜋6.

  • A22
  • B33
  • C33
  • D33
  • E22

Q8:

Find the value of cos5𝜋4.

  • A33
  • B22
  • C22
  • D33
  • E22

Q9:

Find the value of sec𝜋4.

  • A2
  • B2
  • C233
  • D233

Q10:

Find the value of sin𝜋6.

  • A12
  • B12
  • C33
  • D33

Q11:

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

  • Asin𝜃=43 and cos𝜃=53
  • Bsin𝜃=49 and cos𝜃=59
  • Csin𝜃=59 and cos𝜃=49
  • Dsin𝜃=441 and cos𝜃=541
  • Esin𝜃=541 and cos𝜃=441

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