If x-rsin-cos- y-rsin-sin- and z-rcos- prove that r2-x2-y2-z2-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Complex Numbers

If x=rsinαc...

Question

If $x = r sin α cos β, y = r sin α sin β$ and $z = r cos α$ , prove that $r^{2} = x^{2} + y^{2} + z^{2}$ .

Open in App

Solution

Suggest Corrections

Similar questions

If $x = r s i n α c o s β, y = r s i n α s i n β$ and $z = r c o s α$ , then

x = r sin A cos C, y = r sin A sin C

z = r cos A

r^{2} = x^{2} + y^{2} + z^{2}

If x = r cos A cos B, y = r cos A sin B and z = r sin A, show that :

$x^{2} + y^{2} + z^{2} = r^{2}$

x = r cos θ . sin ϕ, y = sin θ . sin ϕ, z = r cos ϕ

x^{2} + y^{2} + z^{2} = r^{2}

x = r cos α cos β cos γ, y = r cos α cos β sin γ, z = r sin α cos β, μ = r sin β

x^{2} + y^{2} + z^{2} + μ^{2} =

Join BYJU'S Learning Program