If x-ar sin-cos- y-brsin-sin- z-cr cos- then- prove that x2a2-y2b2-z2c2-r2

→ x ^ 2 a ^ 2 + y ^ 2 b ^ 2 = r ^ 2 sin^ 2 θ → x ^ 2 a ^ 2 + y ^ 2 b ^ 2 + z ^ 2 c ^ 2 = r ^ 2 ...

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Properties of Conjugate of a Complex Number

If x=ar sin...

Question

If $x = a r sin θ cos ϕ$ , $y = b r sin θ sin φ$ , $z = c r cos θ$ then, prove that $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} + \frac{z^{2}}{c^{2}} = r^{2}$

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