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
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