If x = r sin A cos B, y = r sin A sin B, z = r cos A, t... – Trigonometry

Trigonometryhard · Past Paper

If x = r sin A cos B, y = r sin A sin B, z = r cos A, then x^2 + y^2 + z^2 is:

Br^2

Cr^3

✓ Correct Answer: B — r^2

x^2 + y^2 = r^2 sin^2 A (cos^2 B + sin^2 B) = r^2 sin^2 A. Then r^2 sin^2 A + r^2 cos^2 A = r^2.

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