Hello
I am have a problem solving y =3/tan x and y =2sin x algebraically.
I can do it graphically but have to confirm my answer algebraically.
Can anyone point me in the correct direction on how to do this ?
Thanks.
Hello
I am have a problem solving y =3/tan x and y =2sin x algebraically.
I can do it graphically but have to confirm my answer algebraically.
Can anyone point me in the correct direction on how to do this ?
Thanks.
I assume find the points of intersection for the two equations given?
If so set them equal:
$\displaystyle \frac{3}{\tan(x)} = 2\sin(x)$
$\displaystyle \frac{3\sin(x)}{cos(x)} - 2\sin(x) = 0$
Multiply both sides by $\displaystyle \cos(x)$
$\displaystyle 3\sin(x) - 2\sin(x)\cos(x) = 0$
Factor out sin(x)
$\displaystyle \sin(x)(3-2\cos(x))= 0$
From this we can use the null factor theorem to solve