Question

Tg(п/4-а), если tga= 1/2

Answer 1

Ответ 1/3
tg p/4 = tg45°= 1

Answer 2

To find the value of Tg(π/4 - α) given that tan(α) = 1/2, we can use the trigonometric identity:

tan(π/4 - α) = (tan(π/4) - tan(α)) / (1 + tan(π/4) * tan(α))

Since tan(π/4) = 1, we can substitute the values and simplify the expression:

tan(π/4 - α) = (1 - 1/2) / (1 + 1/2 * 1/2) = (1/2) / (1 + 1/4) = (1/2) / (5/4) = 2/5

Therefore, Tg(π/4 - α) = 2/5.