Use a calculator to solve each of the following, 0° ≤ 𝜃 ≤ 360°, to the nearest tenth of a
degree. b. cot 𝜃 = 3.560
To find the value of θ such that cot θ = 3.560, follow these steps:
1. Use the formula cot θ = 1/tan θ
2. Substitute the value of cot θ into the formula to get 1/tan θ = 3.560
3. Solve for tan θ: tan θ = 1/3.560 = 0.2809
4. Use the inverse tangent function on the calculator to find the angle whose tangent is 0.2809: tan^(-1)(0.2809) = approximately 15.7°
Therefore, the value of θ such that cot θ = 3.560 is approximately 15.7°.