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Worksheet: Exact Values of Trigonometric Ratios

Q1:

Find πœƒ given s i n πœƒ = 1 2 and c o s πœƒ = √ 3 2 .

  • A 1 1 πœ‹ 6
  • B πœ‹ 5
  • C 5 πœ‹ 6
  • D πœ‹ 6
  • E0

Q2:

Find the value of c o s ο€» πœ‹ 3  .

  • A1
  • B βˆ’ 1 2
  • C βˆ’ 1
  • D 1 2

Q3:

Find the value of s e c ο€» πœ‹ 4  .

  • A 2 √ 3 3
  • B βˆ’ √ 2
  • C βˆ’ 2 √ 3 3
  • D √ 2

Q4:

Find the value of s i n ο€» πœ‹ 6  .

  • A √ 3 3
  • B βˆ’ 1 2
  • C βˆ’ √ 3 3
  • D 1 2

Q5:

Find the value of s e c ο€» πœ‹ 6  .

  • A 1 2
  • B βˆ’ 2 √ 3 3
  • C βˆ’ 1 2
  • D 2 √ 3 3

Q6:

Find the value of t a n ο€» πœ‹ 4  .

  • A √ 2
  • B βˆ’ 1
  • C βˆ’ √ 2
  • D1

Q7:

Find the value of t a n 5 πœ‹ 6 .

  • A √ 3 3
  • B √ 2 2
  • C 3 √ 3
  • D βˆ’ √ 3 3
  • E βˆ’ √ 2 2

Q8:

Find the value of c o s 2 πœ‹ 3 .

  • A √ 3 2
  • B 1 2
  • C βˆ’ √ 3 2
  • D βˆ’ 1 2
  • E 1 √ 3

Q9:

Find the value of c o s 5 πœ‹ 4 .

  • A √ 3 3
  • B βˆ’ √ 3 3
  • C √ 2 2
  • D βˆ’ √ 2 2
  • E 2 √ 2

Q10:

Find the value of s i n 3 πœ‹ 4 .

  • A √ 2
  • B βˆ’ √ 2 2
  • C βˆ’ √ 2
  • D √ 2 2
  • E 1 2