# Math

prove: tan10+tan70+tan100=tan10.tan70.tan100

1. Haven't tried it, but look at this:

sure looks messy, I am sure there is an easier way

posted by Reiny
2. 100+70 = -10
tan(100+70)= -tan10
(tan100+tan70)/1-tan100.tan70 = -tan10
Multiplying 1-tan100.tan70 with -tan10,
tan100+ tan70= -tan10+tan10.tan100.tan70
tan10+tan100+tan70= tan10.tan70.tan100 proved

posted by Saloni

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