Question

Using tables, find the approximate value of θ, when cot θ = 10.

Answer 1

Given: cot θ = 10

Step-wise calculation:

1. cot θ = 10

⇒ `tan θ = 1/10`

= 0.1

2. Use trigonometric tables to find the acute angle whose tangent is 0.1.

From the tables by interpolation this gives θ ≈ 5° 42.7′.

3. Decimal check θ = arctan (0.1) = 5.710593°

= 5° 42′ 38.1″ ≈ 5° 42.6′, which agrees with the table result.

θ ≈ 5° 42.7′   ...(≈ 5.7106°)