Question

Найти tg2a если tga=0.6​

Answer 1

$\tg 2 \alpha = \frac{2 \tg \alpha }{1 - \tg^{2} \alpha }$

$= \frac{2 \times 0.6}{1 - {0.6}^{2} } = \frac{1.2}{0.64} = \frac{120}{64} = 1.875$

Answer 2

Calculating tg2a if tga=0.6

To find tg2a when tga=0.6, we can use trigonometric identities to express tg2a in terms of tga. The tangent double-angle identity is given by:

tg(2a) = 2 * tg(a) / (1 - tg^2(a))

Substituting tga=0.6 into the formula, we get:

tg(2a) = 2 * 0.6 / (1 - 0.6^2)

Calculating the value:

tg(2a) = 1.2 / (1 - 0.36)

tg(2a) = 1.2 / 0.64

tg(2a) = 1.875

Therefore, when tga=0.6, tg2a is equal to 1.875.