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Worksheet: Trigonometric Ratios and the Unit Circle

Q1:

The terminal side of ∠ 𝐴 𝑂 𝐡 in standard position intersects with the unit circle at the point 𝐡 with coordinates ( βˆ’ π‘₯ , βˆ’ π‘₯ ) . Find s i n πœƒ .

  • A βˆ’ 1
  • B 1 √ 2
  • C1
  • D βˆ’ 1 √ 2

Q2:

The terminal side of πœƒ in standard position intersects with the unit circle at the point 𝐡 with coordinates ο€Ό 8 1 7 , 1 5 1 7  . Find s e c πœƒ .

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

Q3:

The terminal side of πœƒ in standard position intersects with the unit circle at the point 𝐡 with coordinates ο€Ό 4 5 , βˆ’ 3 5  . Find c o t πœƒ .

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

Q4:

The terminal side of πœƒ in standard position intersects with the unit circle at the point 𝐡 with coordinates ο€Ό 8 1 7 , 1 5 1 7  . Find t a n πœƒ .

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