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Lesson: Exact Values of Trigonometric Ratios

Sample Question Videos

Worksheet • 13 Questions • 1 Video

Q1:

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

  • A πœ‹ 6
  • B0
  • C πœ‹ 5
  • D 5 πœ‹ 6
  • E 1 1 πœ‹ 6

Q2:

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

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

Q3:

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

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

Q4:

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

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

Q5:

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

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

Q6:

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

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

Q7:

Find the value of t a n 5 πœ‹ 6 .

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

Q8:

Find the value of c o s 2 πœ‹ 3 .

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

Q9:

Find the value of c o s 5 πœ‹ 4 .

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

Q10:

Find the value of s i n 3 πœ‹ 4 .

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

Q11:

Find t a n 𝐴 , given 𝐴 𝐡 𝐢 is a right-angled triangle at 𝐢 where 𝐴 𝐡 = 2 0 c m and 𝐡 𝐢 = 1 6 c m .

  • A 4 3
  • B 3 4
  • C 5 4
  • D 4 5

Q12:

What is the value of t a n πœƒ in the given triangle?

  • A 5 1 2
  • B 1 3 1 2
  • C 1 2 1 3
  • D 1 2 5
  • E 5 1 3

Q13:

Find t a n 𝐡 , given 𝐴 𝐡 𝐢 is a right-angled triangle at 𝐢 where 𝐴 𝐢 = 8 c m and 𝐡 𝐢 = 1 5 c m .

  • A 8 1 5
  • B 1 5 8
  • C 1 7 8
  • D 8 1 7
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