Question

Если tga=5/3, tgb=4/3, то tg(a+b) равен

Answer 1

Ответ:-21/11

Пошаговое объяснение:

tg(a+b)= (tga+tgb)/(1-tga*tgb)=(5/3+4/3)/(1-5/3*4/3=7/3: (-11/9)=-21/11

Answer 2

To find the value of the tangent of the sum of angles a and b (i.e., tg(a+b)), we can use the tangent addition formula:

tg(a + b) = (tga + tgb) / (1 - tga * tgb)

Given that tga = 5/3 and tgb = 4/3, we can substitute these values into the formula:

tg(a + b) = (5/3 + 4/3) / (1 - 5/3 * 4/3) = (9/3) / (1 - 20/9) = (3) / (1 - 20/9)

Next, let's find a common denominator for the fraction in the denominator:

tg(a + b) = (3) / (9/9 - 20/9) = 3 / (-11/9)

Now, dividing by a fraction is the same as multiplying by its reciprocal:

tg(a + b) = 3 * (-9/11) = -27/11

So, the value of tg(a + b) is -27/11.