What is (2tan(10 degrees))/(1 - tan^2 (10 degrees)) expressed as a single trigonometric ratio?

I need help ASAP please

Answer:

Answer is tan(20 degrees) so, D.

Step-by-step explanation:

As a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree

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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