Arccot Formula
Arccot formula is used in trigonometry, where the cotangent is defined as the ratio of the adjacent side to the opposite side of a specific angle of a rightangled triangle whereas arccot is the inverse of the cotangent function. Arccot is also known as cot^{1}. The arccot formula is explained along with the solved examples below.
What is Arccot Formula?
The basic arccot formula can be written as:
\(θ = \text{arccot} \left(\dfrac{\text{adjacent}}{\text{opposite}}\right) \)
The graph of Arccot is shown below:
Solved Examples Using Arccot Formula

Example 1:
In the rightangled triangle DEF, if the base of the triangle is 34 and the height is 22. Find the base angle.
Solution:
To find: θ
Using the arccot formula,
\(θ = \text{arccot} \left(\dfrac{\text{adjacent}}{\text{opposite}}\right) \)
\( θ = \text{arccot} \left( \dfrac{34}{22}\right) = 32.998^\circ \)Answer: Therefore, θ = 32.998^{o}.

Example 2:
In the rightangled triangle XYZ, if the base of the triangle is 4 and the height is 3. Find the base angle.
Solution:
To find: θ
Using the arccot formula,
\(θ = \text{arccot} \left(\dfrac{\text{adjacent}}{\text{opposite}}\right) \)
\( θ = \text{arccot} \left(\dfrac{4}{3}\right) = 36.877^\circ \)Answer: Hence, the value of c is 1.