Section A · A1

Practice 1

[3 points] State the values of sin 𝜃, cos 𝜃 and tan 𝜃 in the following triangle.

ABCθ15817

All numerical answers should be given exactly or rounded to 3 significant figures, unless otherwise stated.

Detailed Solution
  1. sin θ = opposite / hypotenuse; cos θ = adjacent / hypotenuse; tan θ = opposite / adjacent.
  2. Relative to θ: opposite = 8, adjacent = 15, hypotenuse = 17.
  3. sin θ = 8/17; cos θ = 15/17; tan θ = 8/15.
sin θ
8/17
cos θ
15/17
tan θ
8/15

All geometric figures are for illustration only and are not drawn to scale, unless otherwise stated.