Section A · A1
Practice 1[3 points] State the values of (1) sin 𝜃, (2) cos 𝜃 and (3) tan 𝜃 in the following triangle.
All numerical answers should be given exactly or rounded to 3 significant figures, unless otherwise stated.
Detailed Solution
- sin θ = opposite / hypotenuse; cos θ = adjacent / hypotenuse; tan θ = opposite / adjacent.
- Relative to θ: opposite = 8, adjacent = 15, hypotenuse = 17.
- sin θ = 8/17; cos θ = 15/17; tan θ = 8/15.
- (1) sin θ
- 8/17
- (2) cos θ
- 15/17
- (3) tan θ
- 8/15