Question

Найди tg2x, зная, что tgx=27

Answer 1

tg(2x) = 2·tg(x)/(1 - tg²(x)) = 2*27/(1-27²) = 54/-728 = 0,074

Answer 2

To find the value of tg(2x) given that tg(x) = 27, we can use trigonometric identities and basic trigonometric relationships.

First, let's recall the double-angle trigonometric identity for tangent:

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

Now, plug in the given value of tg(x) = 27 into the formula:

tg(2x) = 2 * 27 / (1 - 27^2)

Next, calculate the denominator:

1 - 27^2 = 1 - 729 = -728

Now, find the value of tg(2x):

tg(2x) = 2 * 27 / (-728) tg(2x) = -54 / 728 tg(2x) = -27 / 364

Therefore, tg(2x) = -27 / 364.