Worksheet: Trigonometric Functions of Standard Position Angle

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In this worksheet, we will practice finding the values of the six trigonometric functions of an angle θ given in standard position.

Q1:

The terminal side of 𝜃 in standard position intersects with the unit circle at the point 𝐵 with coordinates 8 1 7 , 1 5 1 7 . Find s e c 𝜃 .

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

Q2:

The terminal side of ∠ 𝐴 𝑂 𝐵 in standard position intersects with the unit circle at the point 𝐵 with coordinates ( − 𝑥 , − 𝑥 ) where 𝑥 is a postive number. Find s i n 𝜃 .

  • A − 1
  • B 1 √ 2
  • C1
  • D − 1 √ 2

Q3:

The terminal side of 𝜃 in standard position intersects with the unit circle at the point 𝐵 with coordinates 4 5 , − 3 5 . Find c o t 𝜃 .

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

Q4:

The terminal side of 𝜃 in standard position intersects with the unit circle at the point 𝐵 with coordinates 8 1 7 , 1 5 1 7 . Find t a n 𝜃 .

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

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