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Arccot Formula

About Arccot Formula

In trigonometry, the arccot formula is the inverse of the cotangent function, which is defined as the ratio of the adjacent side to the opposite side at a certain angle of a right-angled triangle. Cot-1 is another name for Arccot. The Arccot formula is presented here, along with illustrations.

What is Arccot Formula?

The basic arcot formula will be written as:

θ = arccot(adjacent/opposite)

Examples Using Arccot Formula:

Example 1: In a right-angled 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 = arccot(adjacentopposite)θ = arccot(adjacentopposite)

θ = arccot(3422) = 32.998?θ = arccot(3422) = 32.998?

Answer: Therefore, θ = 32.998?.

Example 2: In a right-angled 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 = arccot(adjacent/opposite)

θ = arccot(43) = 36.877?

Thus, the value of c is 1.

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