Question

what is the formula of Tan2theta

Answer 1

tan2theta = 2 tan theta / (1 - tan²theta)

Answer 2

Answer:

$tan2\theta = \frac{2tan\theta}{1-tan^{2}\theta}$

Step-by-step explanation:

$tan2\theta\\=tan(\theta+\theta)\\=\frac{tan\theta+tan\theta}{1-tan\theta \times tan\theta}$

$Since ,\:\boxed {tan(A+B)=\frac{tanA+tanB}{1-tanA tanB }}$

$=\frac{2tan\theta}{1-tan^{2}\theta}$

Therefore,

$tan2\theta = \frac{2tan\theta}{1-tan^{2}\theta}$

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