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If x=rsinAcosC ,\ \ y=rsinAsinC and z=rc...

If `x=rsinAcosC ,\ \ y=rsinAsinC` and `z=rcosA` , prove that `r^2=x^2+y^2+z^2`

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To prove that \( r^2 = x^2 + y^2 + z^2 \) given \( x = r \sin A \cos C \), \( y = r \sin A \sin C \), and \( z = r \cos A \), we will follow these steps: ### Step 1: Write the expressions for \( x^2 \), \( y^2 \), and \( z^2 \) We start by squaring each of the expressions: \[ x^2 = (r \sin A \cos C)^2 = r^2 \sin^2 A \cos^2 C ...
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