Arctan Formula

About Arctan Formula

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

What is Arctan Formula?

The basic arctan formula will be written as:

θ=arctan(opposite / adjacent)

Example based on Arctan Formula

Examples Using Arctan Formula:

Examples1 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 arctan formula,

θ=arctan(opposite / adjacent)

θ=arctan(22/34)=0.57430483

Answer: Therefore, θ = 32.998o.

Examples2 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 arctan formula,

θ=arctan(opposite /adjacent)

θ=arctan(3/4)=0.64350110

To get all the Maths formulas check out the main page. 

Find pdf of Arctan Formula solved examples 

Arctan Formula

Related Links

Frequently Asked Questions on Arctan Formula