Trigonometryhard · Past Paper

If tan A + tan B + tan C = tan A tan B tan C, what can be said about A + B + C?

AThey sum to 90°
BThey sum to 180°
CThey sum to 360°
DThey are all equal

✓ Correct Answer: BThey sum to 180°

This identity holds true when A, B, and C are the angles of a triangle or sum to nπ.

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