As a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree
What is Trigonometric Ratios ?
The ratios of sides of a right angled triangle that can be used to determine the value of angles and sides are called Trigonometric Ratios.
The expression given is
(2tan(10 degrees))/(1 - tan² (10 degrees))
By the property of Tan 2x
Tan 2x = 2tanx /(1 - tan² x)
Therefore from the formula ,
x = 10 in the given expression
Therefore as a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree
Option D is the correct answer.
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