Question

Cos a =3/7 ,tg a=-14/27 sin a=?

Answer 1

Тангенсом острого угла называется отношение синуса угла к его косинусу

$-\frac{14}{27} = \frac{x}{\frac{2}{9}} \\-\frac{14}{27} = \frac{7x}{3}\\-42=189x\\189x=-42\\x=-\frac{2}{9} = -0,2$

Answer 2

To find the value of sin(a), we can use the relationship between sine and tangent:

sin(a) = tan(a) * cos(a)

Given that tan(a) = -14/27 and cos(a) = 3/7, we can substitute these values into the equation:

sin(a) = (-14/27) * (3/7)

Now, let's simplify the expression:

sin(a) = (-14 * 3) / (27 * 7) = -42 / 189 = -2 / 9

Therefore, sin(a) is equal to -2/9.