Worksheet: Evaluating Trigonometric Functions given a Point

In this worksheet, we will practice finding the exact values of the trigonometric ratios of a standard position angle whose terminal side passes through a given point.

Q1:

The terminal side of 𝐴 𝑂 𝐵 in standard position intersects with the unit circle at the point 𝐵 with coordinates ( 0 . 8 , 0 . 6 ) . Find t a n 𝐴 𝑂 𝐵 .

  • A 0 . 8
  • B 0 . 6
  • C 4 3
  • D 3 4
  • E 2 3

Q2:

Find c o t 𝜃 given 𝜃 is in standard position and its terminal side passes through the point 8 1 7 , 1 5 1 7 .

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

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