Question

prove that tan2A =2tanA /1-tan^2A​

Answer 1

Step-by-step explanation:

Best Answer

tan (2A) = sin(2A) / cos(2A)

= 2 sinA cos A / (cos^2 A - sin^2 A)

Divide numerator and denominator by cos^2 A...

= 2 (sinA / cosA) / (1-[sinA / cosA]^2)

= 2 tanA / (1-tan^2 A)

Answer 2

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tan (2A) = sin(2A) / cos(2A)

= 2 sinA cos A / (cos^2 A - sin^2 A)

Divide numerator and denominator by cos^2 A...

= 2 (sinA / cosA) / (1-[sinA / cosA]^2)

= 2 tanA / (1-tan^2 A)

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