gibsonj338

\(sin(10^*)\)

I asume you mean \(sin(10°)\).  The only way to find the exact value is to plug the expression into a calculator.

\(\pi/18\)

If the expression is one that is on the unit circle that is memorized such as \(sin(45°)\), that is one you should already know which is \(\sqrt(2)/2\).

\(f(x)=6x+4\)

I have no idea what you want to do.  If you want to subsitute x or a numbrer or expression then I can solve for f(x) or I can isolate x.

\(5/z^-3\)

I do not know what youI want to do with this problem.  If you want to isolate z, you will have set this expression equal to something and then you can isolate z.

\(z =(−1 + i )^(1/3)\)

\(r=\sqrt((-1)^2+1^2)\)

\(r=\sqrt(1+1^2)\)

\(r=\sqrt(1+1)\)

\(r=\sqrt(2)\)

\(tan(\Theta)=1/-1\)

\(tan(\Theta)=-1\)

\(\Theta=tan^-1(-1)\)

\(\Theta=-\pi/4\)

\(\sqrt(2)e^(-\pi/4i)^(1/3)\)

\(\sqrt(2)^(1/3)e^(-\pi/12i)\)

\(\sqrt(2)^(1/3)*(cos(-\pi/12)+isin(-\pi/12))\)

\(\sqrt(2)^(1/3)*(0.965925826289 +isin(-\pi/12))\)

\(\sqrt(2)^(1/3)*(0.965925826289 +i*-0.258819045103)\)

\(\ 1.414213562373095)^(1/3)*(0.965925826289 +i*-0.258819045103)\)

\(\ 1.122462048309373*(0.965925826289 +i*-0.258819045103)\)

\(\ 1.084215081491274550528506797 +i*-0.290514555507789375384650419\)

\(\ 1.084215081491274550528506797 + -0.290514555507789375384650419i\)

Answer 1:\(\ 1.084215081491274550528506797 -0.290514555507789375384650419i\)

\(\sqrt(2)e^(7\pi/4i)^(1/3)\)

\(\sqrt(2)^(1/3)e^(7\pi/12i)\)

\(\sqrt(2)^(1/3)*(cos(7\pi/12)+isin(7\pi/12))\)

\(\sqrt(2)^(1/3)*(-0.258819045103 +isin(7\pi/12))\)

\(\sqrt(2)^(1/3)*(-0.258819045103 +i* 0.965925826289)\)

\(\ 1.414213562373095)^(1/3)*(-0.258819045103 +i* 0.965925826289)\)

\(\ 1.122462048309373*(-0.258819045103 +i* 0.965925826289)\)

\(\ -0.290514555507789375384650419 +i* 1.084215081491274550528506797\)

Answer 2:\(\ -0.290514555507789375384650419 +1.084215081491274550528506797i\)

\(\sqrt(2)e^(15\pi/4i)^(1/3)\)

\(\sqrt(2)^(1/3)e^(15\pi/12i)\)

\(\sqrt(2)^(1/3)*(cos(15\pi/12)+isin(15\pi/12))\)

\(\sqrt(2)^(1/3)*(-0.707106781187 +isin(15\pi/12))\)

\(\sqrt(2)^(1/3)*(-0.707106781187 +i* -0.707106781187)\)

\(\ 1.414213562373095)^(1/3)*(-0.707106781187 +i* -0.707106781187)\)

\(\ 1.122462048309373*(-0.793700525984607637192165751 +i* -0.793700525984607637192165751)\)

\(\ -0.793700525984607637192165751 +i*-0.793700525984607637192165751\)

\(\ -0.793700525984607637192165751 +-0.793700525984607637192165751i\)

Answer 3:\(\ -0.793700525984607637192165751 -0.793700525984607637192165751i\)

\(\sqrt(12.5(12.5-8)(12.5-10)(12.5-7))\)

\(\sqrt(12.5(4.5)(12.5-10)(12.5-7))\)

\(\sqrt(12.5(4.5)(2.5)(12.5-7))\)

\(\sqrt(12.5(4.5)(2.5)(5.5))\)

\(\sqrt(56.25(2.5)(5.5))\)

\(\sqrt(140.625(5.5))\)

\(\sqrt(773.4375)\)

\(27.8107443266087361 & -27.8107443266087361\)

8^(1/3)

(8+0i)^(1/3)

\(r=\sqrt(8^2+0^2)\)

\(r=\sqrt(64+0)\)

\(r=\sqrt(64)\)

\(r=8\)

\(tan(\Theta)=0/8\)

\(tan(\Theta)=0\)

\(\Theta=tan^-1(0)\)

\(\Theta=0\)

8e^(0i)^(1/3)

8^(1/3)e^(0i/3)

8^(1/3)*(cos(0)+i*sin(0))

8^(1/3)*(1+i*0)

8^(1/3)*(1+0)

8^(1/3)*1

8^(1/3)

2

8e^(2pi)^(1/3)

8^(1/3)e^(2pi/3)

8^(1/3)*(cos(2pi/3)+i*sin(2pi/3))

8^(1/3)*(-1/2+i*(sqrt(3)/2))

8^(1/3)*-1/2+i*sqrt(3)/2

2*-1/2+i*sqrt(3)/2

-2/2+i*sqrt(3)/2

-1+i*sqrt(3)/2

-1+sqrt(3)/2i

8e^(4pi)^(1/3)

8^(1/3)e^(4pi/3)

8^(1/3)*(cos(4pi/3)+i*sin(4pi/3))

8^(1/3)*(-1/2+i*(-sqrt(3)/2))

8^(1/3)*-1/2+i*-sqrt(3)/2

2*-1/2+i*-sqrt(3)/2

-2/2+i*-sqrt(3)/2

-1+i*-sqrt(3)/2

-1-sqrt(3)/2i

There certainly are three roots.  The problem is 8^(1/3).

\(190/8\)

\(23.75\)

I am plaining on see the new Star Wars movie tomorrow in 3D at 10:30AM PST in Hillsboro, Oregon for $8.50.  Right now I think I may be developing a nasty head cold.  If my head cold becomes worse, I may have to stay home and wait until a week from tomorrow to see the movie for $8.50.

I see. Alright.