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Worksheet: Trigonometric Ratios in Right Triangles

Q1:

Find , given is a right triangle at where and .

  • A
  • B
  • C
  • D

Q2:

What is the value of c o s πœƒ in the given triangle?

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

Q3:

What is the value of s i n πœƒ in the given triangle?

  • A √ 2
  • B1
  • C 1 + √ 2
  • D √ 2 2
  • E2

Q4:

𝐴 𝐡 𝐢 is an isosceles triangle where 𝐴 𝐡 = 𝐴 𝐢 = 1 0 c m and 𝐡 𝐢 = 1 6 c m . Find the value of s i n 𝐢 𝐴 𝐷 given 𝐷 lies on the midpoint of 𝐡 𝐢 where 𝐴 𝐷 βŸ‚ 𝐡 𝐢 .

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

Q5:

Find , given is a right triangle at where and .

  • A
  • B
  • C
  • D

Q6:

Find , given is a right triangle at where and .

  • A
  • B
  • C
  • D

Q7:

What is the value of c o s πœƒ in the given triangle?

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

Q8:

Find the value of given is a right triangle at where and .

  • A
  • B
  • C
  • D

Q9:

Find , given is a right triangle at where and .

  • A
  • B
  • C
  • D

Q10:

Find the value of given is a right triangle at where .

  • A
  • B
  • C2
  • D

Q11:

What is the value of s i n πœƒ in the given triangle?

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

Q12:

𝐴 𝐡 𝐢 is a triangle, where the ratio between its lengths π‘Ž , 𝑏 , and 𝑐 is 4 ∢ 3 ∢ 5 . Find s i n 𝐴 .

  • A 3 5
  • B 3 4
  • C 1 5
  • D 4 5

Q13:

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

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